252712971840 has 896 divisors, whose sum is σ = 973499793408. Its totient is φ = 54344908800.

The previous prime is 252712971829. The next prime is 252712971857. The reversal of 252712971840 is 48179217252.

It is a super-2 number, since 2×252712971840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252712971840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1673595765 + ... + 1673595915.

Almost surely, 2^252712971840 is an apocalyptic number.

252712971840 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 252712971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486749896704).

252712971840 is an abundant number, since it is smaller than the sum of its proper divisors (720786821568).

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

252712971840 is a wasteful number, since it uses less digits than its factorization.

252712971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 252712971840 in words is "two hundred fifty-two billion, seven hundred twelve million, nine hundred seventy-one thousand, eight hundred forty".