29924482900 has 216 divisors, whose sum is σ = 76564708920. Its totient is φ = 10056499200.

The previous prime is 29924482867. The next prime is 29924482919. The reversal of 29924482900 is 928442992.

It can be written as a sum of positive squares in 12 ways, for example, as 18893602116 + 11030880784 = 137454^2 + 105028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21237396 + ... + 21238804.

It is an arithmetic number, because the mean of its divisors is an integer number (354466245).

Almost surely, 2^29924482900 is an apocalyptic number.

29924482900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29924482900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282354460).

29924482900 is an abundant number, since it is smaller than the sum of its proper divisors (46640226020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29924482900 is a wasteful number, since it uses less digits than its factorization.

29924482900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 29924482900 in words is "twenty-nine billion, nine hundred twenty-four million, four hundred eighty-two thousand, nine hundred".