The number 2^29 displays all digits from 0 to 9 except for one of them. Which is the missing digit?

Question

The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 can be arranged into an addition sum to add up to almost any total, except that nobody has yet found a way to add up to 1984.
However 9 digits can equal 1984 by an addition sum.
Which digit is omitted?

Answer 1

2^29 = 536,870,912.
Therefore 4 is the missing number.