252920122840 has 384 divisors, whose sum is σ = 777913528320. Its totient is φ = 72967910400.

The previous prime is 252920122799. The next prime is 252920122849. The reversal of 252920122840 is 48221029252.

It is a self number, because there is not a number n which added to its sum of digits gives 252920122840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252920122849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15364054 + ... + 15380506.

It is an arithmetic number, because the mean of its divisors is an integer number (2025816480).

Almost surely, 2^252920122840 is an apocalyptic number.

252920122840 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 252920122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388956764160).

252920122840 is an abundant number, since it is smaller than the sum of its proper divisors (524993405480).

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

252920122840 is a wasteful number, since it uses less digits than its factorization.

252920122840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16543 (or 16532 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 252920122840 in words is "two hundred fifty-two billion, nine hundred twenty million, one hundred twenty-two thousand, eight hundred forty".