252241400320 has 240 divisors, whose sum is σ = 757651616568. Its totient is φ = 79829729280.

The previous prime is 252241400317. The next prime is 252241400321. The reversal of 252241400320 is 23004142252.

It can be written as a sum of positive squares in 4 ways, for example, as 197605142784 + 54636257536 = 444528^2 + 233744^2 .

It is a super-2 number, since 2×252241400320² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252241400321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553380 + ... + 1708060.

Almost surely, 2^252241400320 is an apocalyptic number.

252241400320 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 252241400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378825808284).

252241400320 is an abundant number, since it is smaller than the sum of its proper divisors (505410216248).

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

252241400320 is a wasteful number, since it uses less digits than its factorization.

252241400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154731 (or 154708 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 252241400320 its reverse (23004142252), we get a palindrome (275245542572).

The spelling of 252241400320 in words is "two hundred fifty-two billion, two hundred forty-one million, four hundred thousand, three hundred twenty".