252290677590 has 256 divisors, whose sum is σ = 775480688640. Its totient is φ = 57174128640.

The previous prime is 252290677589. The next prime is 252290677643. The reversal of 252290677590 is 95776092252.

252290677590 is a `hidden beast` number, since 2 + 522 + 9 + 0 + 67 + 7 + 59 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116746110 + ... + 116748270.

It is an arithmetic number, because the mean of its divisors is an integer number (3029221440).

Almost surely, 2^252290677590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252290677590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387740344320).

252290677590 is an abundant number, since it is smaller than the sum of its proper divisors (523190011050).

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

252290677590 is a wasteful number, since it uses less digits than its factorization.

252290677590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 252290677590 in words is "two hundred fifty-two billion, two hundred ninety million, six hundred seventy-seven thousand, five hundred ninety".