1. Do not rush
The 2048 is so easy to play that you can turn the game into a habit, and pay no attention to what you are doing. This is not a good idea. Take some time - there are no penalties on how long you will think about a move. Try to predict where the new tiles will appear and how you can use them. It's like a game of chess.
2. Work with corners
To win the game, you must have some strategy. If you do not have a strategy, you probably will not go further than 512. A good strategy is always to hold the tale with highest currency at any of the corners. Just choose a corner and point all your tiles to it. It's not as easy as it sounds, but you get used quickly. To prevent the tile of the highest value from leaving the "royal place", try to surround it with other tiles. Preferably these are the next largest tiles. If you master this strategy, you will soon reach 1024 and you can even win the 2048 game.
3. How to make the tile with the highest value stay in the bottom right corner and not move?
Once you place the tile with the highest value in the lower right corner, do not move it. To make sure it will not move, you have to fill the bottom row with tiles, which you can accomplish by pressing the down arrow so that when you move left or right the tile does not move. Overall, this is the most important "hack" for the 2048 game - leave the tile in the corner and do not move it!