252257402880 has 384 divisors, whose sum is σ = 999445449600. Its totient is φ = 57656475648.

The previous prime is 252257402827. The next prime is 252257402959. The reversal of 252257402880 is 88204752252.

252257402880 is a `hidden beast` number, since 2 + 52 + 2 + 574 + 0 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10309701 + ... + 10334139.

It is an arithmetic number, because the mean of its divisors is an integer number (2602722525).

Almost surely, 2^252257402880 is an apocalyptic number.

252257402880 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 252257402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499722724800).

252257402880 is an abundant number, since it is smaller than the sum of its proper divisors (747188046720).

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

252257402880 is an equidigital number, since it uses as much as digits as its factorization.

252257402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24487 (or 24456 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 252257402880 in words is "two hundred fifty-two billion, two hundred fifty-seven million, four hundred two thousand, eight hundred eighty".