252584133081840 has 1440 divisors, whose sum is σ = 1035660905959680. Its totient is φ = 57040207257600.

The previous prime is 252584133081823. The next prime is 252584133081887. The reversal of 252584133081840 is 48180331485252.

It is a happy number.

252584133081840 is a `hidden beast` number, since 2 + 5 + 2 + 584 + 1 + 3 + 3 + 0 + 8 + 18 + 40 = 666.

It is a super-2 number, since 2×252584133081840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27937627720 + ... + 27937636760.

It is an arithmetic number, because the mean of its divisors is an integer number (719208962472).

Almost surely, 2^{252584133081840} is an apocalyptic number.

252584133081840 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 252584133081840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517830452979840).

252584133081840 is an abundant number, since it is smaller than the sum of its proper divisors (783076772877840).

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

252584133081840 is a wasteful number, since it uses less digits than its factorization.

252584133081840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9433 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 252584133081840 in words is "two hundred fifty-two trillion, five hundred eighty-four billion, one hundred thirty-three million, eighty-one thousand, eight hundred forty".