252997377024 has 528 divisors, whose sum is σ = 812533887360. Its totient is φ = 69745213440.

The previous prime is 252997377023. The next prime is 252997377029. The reversal of 252997377024 is 420773799252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252997377023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541750039 + ... + 541750505.

Almost surely, 2^252997377024 is an apocalyptic number.

252997377024 is a gapful number since it is divisible by the number (24) 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 252997377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406266943680).

252997377024 is an abundant number, since it is smaller than the sum of its proper divisors (559536510336).

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

252997377024 is a wasteful number, since it uses less digits than its factorization.

252997377024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 252997377024 in words is "two hundred fifty-two billion, nine hundred ninety-seven million, three hundred seventy-seven thousand, twenty-four".