The 2048 author used to hang around here. I am sure he would be glad to give you back all the time he took from you with his black sorcery!
In terms of time commitment, Kittens was tops (I had the game running for close to a year in the background), but in terms of enjoyment, I have to say my favorite incremental game is Idle Loops: https://omsi6.github.io/loops/
I also waste time on chess puzzles, lichess.org/training , but that isn't so bad since it's easier to pull away, and I felt for a while like it was helping my game, and decided to count that as improving my mind, as contrasted with 2048 which is pure inanity.