252951251040 has 288 divisors, whose sum is σ = 901899048960. Its totient is φ = 64436917248.

The previous prime is 252951251023. The next prime is 252951251093. The reversal of 252951251040 is 40152159252.

252951251040 is a `hidden beast` number, since 2 + 5 + 2 + 95 + 12 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×252951251040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252951250986 and 252951251004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27783129 + ... + 27792231.

It is an arithmetic number, because the mean of its divisors is an integer number (3131593920).

Almost surely, 2^252951251040 is an apocalyptic number.

252951251040 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 252951251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450949524480).

252951251040 is an abundant number, since it is smaller than the sum of its proper divisors (648947797920).

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

252951251040 is a wasteful number, since it uses less digits than its factorization.

252951251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 252951251040 in words is "two hundred fifty-two billion, nine hundred fifty-one million, two hundred fifty-one thousand, forty".