KöMaL 2009 B4192

The numbers 1 to 2009 are written on a sheet of paper. Then the double of each number is also written on it. Finally, all those numbers are erased that occur twice. This procedure is repeated in the following way: In the $i$th step, $i$ times the numbers $1,2,\ldots,2009$ are written on the sheet, and all those numbers are erased that occur twice. How many numbers will be on the sheet after 2009 steps?