252837342240 has 576 divisors, whose sum is σ = 950412331008. Its totient is φ = 56309299200.

The previous prime is 252837342239. The next prime is 252837342253. The reversal of 252837342240 is 42243738252.

252837342240 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 252837342192 and 252837342201.

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 95 ways as a sum of consecutive naturals, for example, 365900295 + ... + 365900985.

It is an arithmetic number, because the mean of its divisors is an integer number (1650021408).

Almost surely, 2^252837342240 is an apocalyptic number.

252837342240 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 252837342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475206165504).

252837342240 is an abundant number, since it is smaller than the sum of its proper divisors (697574988768).

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

252837342240 is a wasteful number, since it uses less digits than its factorization.

252837342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 252837342240 in words is "two hundred fifty-two billion, eight hundred thirty-seven million, three hundred forty-two thousand, two hundred forty".