252300132240 has 640 divisors, whose sum is σ = 902342246400. Its totient is φ = 57867264000.

The previous prime is 252300132239. The next prime is 252300132263. The reversal of 252300132240 is 42231003252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252300132240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 335951865 + ... + 335952615.

It is an arithmetic number, because the mean of its divisors is an integer number (1409909760).

Almost surely, 2^252300132240 is an apocalyptic number.

252300132240 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 252300132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451171123200).

252300132240 is an abundant number, since it is smaller than the sum of its proper divisors (650042114160).

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

252300132240 is a wasteful number, since it uses less digits than its factorization.

252300132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 252300132240 its reverse (42231003252), we get a palindrome (294531135492).

The spelling of 252300132240 in words is "two hundred fifty-two billion, three hundred million, one hundred thirty-two thousand, two hundred forty".