252770740992 has 1440 divisors, whose sum is σ = 1000059540480. Its totient is φ = 61590896640.

The previous prime is 252770740987. The next prime is 252770741033. The reversal of 252770740992 is 299047077252.

It is a happy number.

252770740992 is a `hidden beast` number, since 2 + 527 + 70 + 7 + 40 + 9 + 9 + 2 = 666.

252770740992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2454084813 + ... + 2454084915.

It is an arithmetic number, because the mean of its divisors is an integer number (694485792).

Almost surely, 2^252770740992 is an apocalyptic number.

252770740992 is a gapful number since it is divisible by the number (22) 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 252770740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500029770240).

252770740992 is an abundant number, since it is smaller than the sum of its proper divisors (747288799488).

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

252770740992 is a wasteful number, since it uses less digits than its factorization.

252770740992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 252770740992 in words is "two hundred fifty-two billion, seven hundred seventy million, seven hundred forty thousand, nine hundred ninety-two".