252382882920 has 384 divisors, whose sum is σ = 917297187840. Its totient is φ = 55328071680.

The previous prime is 252382882901. The next prime is 252382882943. The reversal of 252382882920 is 29288283252.

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 95 ways as a sum of consecutive naturals, for example, 20591514 + ... + 20603766.

It is an arithmetic number, because the mean of its divisors is an integer number (2388794760).

Almost surely, 2^252382882920 is an apocalyptic number.

252382882920 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 252382882920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458648593920).

252382882920 is an abundant number, since it is smaller than the sum of its proper divisors (664914304920).

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

252382882920 is a wasteful number, since it uses less digits than its factorization.

252382882920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12414 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 252382882920 in words is "two hundred fifty-two billion, three hundred eighty-two million, eight hundred eighty-two thousand, nine hundred twenty".