The number that should go in the blank space is 32.
The sequence of numbers provided are all powers of 2, and they are increasing in powers of 2. Starting with 2, each number is multiplied by 2 to get the next number in the sequence.
2 x 2 = 4 (not in the sequence provided)
4 x 2 = 8
8 x 2 = 16 (not in the sequence provided)
16 x 2 = 32
32 x 2 = 64 (not in the sequence provided)
64 x 2 = 128
128 x 2 = 256 (not in the sequence provided)
256 x 2 = 512
512 x 2 = 1024 (not in the sequence provided)
1024 x 2 = 2048
Therefore, the missing number in the sequence is 32, as it follows the pattern of increasing powers of 2.