Well, I guess I might also count as a basement dweller

I guess, while we're in puzzle mood, I'll ask a relatively easy (compared to some others) mathematical puzzle (that doesn't have anything to do with the OTT, or at least didn't until now).

...You might or might not have known it, but there exists a nine-digit (in base 10) power of 2 whose (again, decimal) digits are all different. I don't ask what this power is (even if you didn't know it already, you can probably find it easily either by using a calculator or with some minor googling).

The actual question: what is the

next integer, after 2, for which that statement is true?

And just for the record

^{in}: while I do plan to continue my blitz someTime, it probably won't be within the next bunch of panpix, because, for one, I'm going to bed for my next dose of vivid hallucinations

^{in} though, admittedly, in the OTT, I could be pretty much assured that this statement is indeed, literally, going on record somewhere - if not at sciscitor's site anymore, then certainly at mrob's

There are two films that I particularly like.

One of them is a science-fiction dramatic comedy involving a boy who accidentally travelled in time. Extremely popular when it originally came out in 1985, it retains a major cult following to this day.

The other one, of course, is Back to the Future.