252242756640 has 1152 divisors, whose sum is σ = 1100397312000. Its totient is φ = 53644695552.

The previous prime is 252242756611. The next prime is 252242756657. The reversal of 252242756640 is 46657242252.

It is a happy number.

252242756640 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 42 + 7 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 237292749 + ... + 237293811.

It is an arithmetic number, because the mean of its divisors is an integer number (955206000).

Almost surely, 2^252242756640 is an apocalyptic number.

252242756640 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 252242756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550198656000).

252242756640 is an abundant number, since it is smaller than the sum of its proper divisors (848154555360).

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

252242756640 is a wasteful number, since it uses less digits than its factorization.

252242756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 252242756640 its reverse (46657242252), we get a palindrome (298899998892).

The spelling of 252242756640 in words is "two hundred fifty-two billion, two hundred forty-two million, seven hundred fifty-six thousand, six hundred forty".