252642075840 has 2688 divisors, whose sum is σ = 1245339648000. Its totient is φ = 46969528320.

The previous prime is 252642075827. The next prime is 252642075841. The reversal of 252642075840 is 48570246252.

252642075840 is a `hidden beast` number, since 2 + 5 + 2 + 64 + 2 + 0 + 7 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252642075841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3198000921 + ... + 3198000999.

It is an arithmetic number, because the mean of its divisors is an integer number (463296000).

Almost surely, 2^252642075840 is an apocalyptic number.

252642075840 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 252642075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622669824000).

252642075840 is an abundant number, since it is smaller than the sum of its proper divisors (992697572160).

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

252642075840 is a wasteful number, since it uses less digits than its factorization.

252642075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 252642075840 in words is "two hundred fifty-two billion, six hundred forty-two million, seventy-five thousand, eight hundred forty".