The number 1234567890123456789012...890 is 4000 digits long. First you remove all the digits in the odd number of places starting at the leftmost places. Next you remove the digits in the odd number of places in the remaining 2000 digits. You perform the same operation until only one digit remains. What digit is last to be removed?

1) 2
2) 4
3) 6
4) 8