29422540900 has 81 divisors (see below), whose sum is σ = 67890823329. Its totient is φ = 11065743360.

The previous prime is 29422540879. The next prime is 29422540937. The reversal of 29422540900 is 904522492.

The square root of 29422540900 is 171530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 16024015396 + 13398525504 = 126586^2 + 115752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29422540900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29159596 + ... + 29160604.

Almost surely, 2^29422540900 is an apocalyptic number.

29422540900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29422540900 is the 171530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29422540900

29422540900 is an abundant number, since it is smaller than the sum of its proper divisors (38468282429).

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

29422540900 is a wasteful number, since it uses less digits than its factorization.

29422540900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 29422540900 in words is "twenty-nine billion, four hundred twenty-two million, five hundred forty thousand, nine hundred".