252344352122040 has 256 divisors, whose sum is σ = 781760388096000. Its totient is φ = 65113977323520.

The previous prime is 252344352122039. The next prime is 252344352122059. The reversal of 252344352122040 is 40221253443252.

252344352122040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252344352122040² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252344352122040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3577845496 + ... + 3577916024.

It is an arithmetic number, because the mean of its divisors is an integer number (3053751516000).

Almost surely, 2^{252344352122040} is an apocalyptic number.

252344352122040 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 252344352122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390880194048000).

252344352122040 is an abundant number, since it is smaller than the sum of its proper divisors (529416035973960).

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

252344352122040 is a wasteful number, since it uses less digits than its factorization.

252344352122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74990 (or 74986 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 252344352122040 in words is "two hundred fifty-two trillion, three hundred forty-four billion, three hundred fifty-two million, one hundred twenty-two thousand, forty".