Not all even digits, but I'm still mindblown that 33554432 is a power of 2 (2^25). It makes a nice little song on one of those singing calculators from the 80s that play a little tune with a different note for each digit.
A puzzle you might appreciate: 2^29 is a nine-digit number. All nine digits are different. Which of the ten digits is missing? Figure it out without computing 2^29 explicitly.