252085580240 has 40 divisors (see below), whose sum is σ = 631183513128. Its totient is φ = 93077752320.

The previous prime is 252085580239. The next prime is 252085580273. The reversal of 252085580240 is 42085580252.

252085580240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17201896336 + 234883683904 = 131156^2 + 484648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 121193951 + ... + 121196030.

Almost surely, 2^252085580240 is an apocalyptic number.

252085580240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252085580240 is an abundant number, since it is smaller than the sum of its proper divisors (379097932888).

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

252085580240 is a wasteful number, since it uses less digits than its factorization.

252085580240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242390007 (or 242390001 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 41.

The spelling of 252085580240 in words is "two hundred fifty-two billion, eighty-five million, five hundred eighty thousand, two hundred forty".