Moreover you have a game field of 19 positions and require 14 of them to be filled in order allowing simple combination to 16384. In a game with 6 degrees of freedom this might be challenging.

(1 + 2 + 4 + 8) + (16 + 32 + 64 + 128) + (256 + 512 + 1024 + 2048) + (4096 + 8192)

If you thing it'll take you too long, just realize that you'd be playing all the new 2048 clones that will keep appearing during that time anyway.

What, it's only a little over two hours if you keep a steady pace of two moves per second.

I just played til I got a 2048 in a corner. It wasn't fun.