252962242466560 has 144 divisors (see below), whose sum is σ = 661054016986272. Its totient is φ = 91979808768000.

The previous prime is 252962242466519. The next prime is 252962242466581. The reversal of 252962242466560 is 65664242269252.

It is a super-2 number, since 2×252962242466560² (a number of 30 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 202142302 + ... + 203389858.

It is an arithmetic number, because the mean of its divisors is an integer number (4590652895738).

Almost surely, 2^{252962242466560} is an apocalyptic number.

252962242466560 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 252962242466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330527008493136).

252962242466560 is an abundant number, since it is smaller than the sum of its proper divisors (408091774519712).

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

252962242466560 is a wasteful number, since it uses less digits than its factorization.

252962242466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261990 (or 1261976 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 61.

The spelling of 252962242466560 in words is "two hundred fifty-two trillion, nine hundred sixty-two billion, two hundred forty-two million, four hundred sixty-six thousand, five hundred sixty".