252533022240 has 48 divisors (see below), whose sum is σ = 795479021568. Its totient is φ = 67342139136.

The previous prime is 252533022211. The next prime is 252533022311. The reversal of 252533022240 is 42220335252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252533022198 and 252533022207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263054752 + ... + 263055711.

It is an arithmetic number, because the mean of its divisors is an integer number (16572479616).

Almost surely, 2^252533022240 is an apocalyptic number.

252533022240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252533022240 is an abundant number, since it is smaller than the sum of its proper divisors (542945999328).

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

252533022240 is a wasteful number, since it uses less digits than its factorization.

252533022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526110481 (or 526110473 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 252533022240 its reverse (42220335252), we get a palindrome (294753357492).

The spelling of 252533022240 in words is "two hundred fifty-two billion, five hundred thirty-three million, twenty-two thousand, two hundred forty".