252466515840 has 1536 divisors, whose sum is σ = 1125500313600. Its totient is φ = 46625587200.

The previous prime is 252466515827. The next prime is 252466515853. The reversal of 252466515840 is 48515664252.

It is an interprime number because it is at equal distance from previous prime (252466515827) and next prime (252466515853).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252466515840.

It is a congruent number.

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, 811789285 + ... + 811789595.

It is an arithmetic number, because the mean of its divisors is an integer number (732747600).

Almost surely, 2^252466515840 is an apocalyptic number.

252466515840 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 252466515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562750156800).

252466515840 is an abundant number, since it is smaller than the sum of its proper divisors (873033797760).

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

252466515840 is a wasteful number, since it uses less digits than its factorization.

252466515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 252466515840 in words is "two hundred fifty-two billion, four hundred sixty-six million, five hundred fifteen thousand, eight hundred forty".