Well, I had hoped for more replies to this thought experiment.
I guess that’s understandable, since it’s really hard to come up with a smart plan for using the Awesome Income. 
Anyway, here’s what I would like to do with such an amount of money.
3000€/month for myself
First of all I can cover my living expenses with that. I don’t need more than 1000€ a month, but having a personal income of 3000€ would enable a really decent life style for me and allow me to travel a lot (mostly to visit interesting or important conventions and other events around the world). Even though I’d like to have even more money for myself, I’d feel that diminishing returns would make that a relatively ineffective use of the money.
3000€/month for effective altruism
I’d opt for using 3000€ per month for “regular effective altruism”, because I’d be able to show that I think effective altruism needs to be more of a thing that at least wealthier people should do. But I probably won’t go higher than this amount, because I think there are even more awesome ways to use the Awesome Income.
24000€/month for everything connected to the Future Base
So, what’s this more awesome thing? Warning: The following stuff will sound quite crazy, but it is necessary to be a little bit crazy in order to change the world to the better.
I want to establish a “Future Base”, basically a place for futuristic projects. The basis idea is that the Future Base is something like a private hackerspace that is mostly focused on futurist / transhumanist stuff, but also on optimising one’s physical and mental health (the importance of that is underestimated all too often). What should it have?
- It should have a place where I can live, whether alone or with people I like, because what’s cooler than living in a Future Base?

- There should be office space and basic infrastructure for futuristic start-ups that work on awesome projects
- Beautiful nature in close proximity, which must include forests, because forests are especially uplifting for my mood

- A laboratory for mad scientists, muahahahaha!
Ideally multiple labs for different purposes!
- A place for makers that has seriously advanced 3d printers (those are pretty expensive, so that’s quite a large investment)
- At least one dedicated conference/meeting/seminar/presentation/discussion/filming/party room where we can discuss plans for world awesomification and other stuff
- A general purpose community room to which people can bring and do their own random or futuristic stuff
- A community kitchen
- A community garden for hydroponically grown open source GMO plants or something like that
- Toilets and showers until someone comes up with more futuristic alternatives for those.

- A playground for kids of any age (from 0 to infinity)
- A torture chamber, also known as gym

- A room for (power) naps and meditation

- An open stable and a sufficiently large pasture for herbivores (which won’t be eaten – they are there for therapeutic purposes, and potentially for uplifting experiments later on)
- A dedicated outdoor area for doing crazy recreational stuff (of course I mean sports with that, but calling it “dedicated crazy recreational stuff area” might make people more creative, so that they use it in unexpected ways)

- Lots of storage space for all the stuff that is needed and will accumulate
- Perhaps a small hospital room for biohacking and treating people, if something goes wrong (which is not too unlikely in such a place)
- Optionally a small hotel for guests, members, and tourists
- Optionally apartments for those who want to live within or in close proximity to the Future Base
- Optionally a sauna (perhaps of the near infrared type), because what’s better than seeing all kinds of nerds naked while doing something really healthy?
(just to clear this up from the start: That was meant slightly ironic, but I think a sauna would still be a good idea)
- Optionally a place for swimming, whether that’s a swimming pool, or a lake.
- Perhaps later on a small nuclear reactor, because paying electricity bills shouldn’t be a necessity – instead the Future Base could even sell energy
- And of course a launch platform for rockets and/or space planes … well, just kidding, even though that would certainly appear futuristic

I have probably forgotten lots of cool or necessary stuff. The Future Base should be children-, animal-, and female-friendly. Especially the last point needs to be emphasized, because there are way too few females in the futurist/transhumanist community, and I don’t want to make it even worse in the Future Base. Synergy effect of being children-friendly: The Future Base will train the next generation of innovative futurists, simply by letting them watch what the adults do there.
Building and maintaining such a Future Base with a budget of 24000$ per month would probably be a big challenge. So, the Future Base most likely needs to create some kind of income, for example by renting out some of the space. To be really futuristic and save money, the idea is to 3d print all the buildings of the Future Base (or assemble them in a similarly futuristic way). Later on, the Future Base might be able to sell goods and services.
The space and nature requirements of the Future Base suggests that it needs to be located in a relatively rural area. That’s not ideal from a travel and commuting perspective, but that’s a price that people should be ready to pay. Self-driving cars will make travel and commuting less annoying.
How would that space be run? Mostly self organised, like a Teal organisation, see
https://transforum.fractalfuture.net/t/reinventing-organizations/192
Of course, this is only a first brainstorming draft for a Future Base. We will probably need to shift the discussion about Future Bases to a different thread.