First attempt got me 2484. Kind of a boring game if you ask me. Get's difficult since everything starts at two and you stack numbers up 128, 256, and up. Key is easy, just keep stacking tiles as high as you can as soon as possible. The slight patterns to get pieces where you want them in order to stack correctly can take some thought.
I feel like I've played this game when I was younger...
So far I've only beaten the game twice three times after playing it a bazillion times (my highest score so far is 27648 32228 -- that's after I chose to "Keep going" after I got the 2048).
You can actually get pretty far just by spamming the right and down buttons (and pressing up occasionally when you get stuck)....
Its pretty easy as long as you pick one direction to not move. For example, I only move left, down, and up. Makes it so the 2s don't get trapped where I can't get them. That's really all there is to it. Control the 2s and you'll get pretty far.