252280852992 has 1200 divisors, whose sum is σ = 953378646528. Its totient is φ = 64975011840.

The previous prime is 252280852987. The next prime is 252280853063. The reversal of 252280852992 is 299258082252.

252280852992 is a `hidden beast` number, since 2 + 5 + 2 + 28 + 0 + 8 + 529 + 92 = 666.

It is a super-2 number, since 2×252280852992² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2600833488 + ... + 2600833584.

Almost surely, 2^252280852992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252280852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476689323264).

252280852992 is an abundant number, since it is smaller than the sum of its proper divisors (701097793536).

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

252280852992 is an equidigital number, since it uses as much as digits as its factorization.

252280852992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 252280852992 in words is "two hundred fifty-two billion, two hundred eighty million, eight hundred fifty-two thousand, nine hundred ninety-two".