252740854080 has 672 divisors, whose sum is σ = 1040662546560. Its totient is φ = 55485480960.

The previous prime is 252740854063. The next prime is 252740854103. The reversal of 252740854080 is 80458047252.

252740854080 is a `hidden beast` number, since 2 + 5 + 27 + 4 + 0 + 8 + 540 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21821731 + ... + 21833309.

It is an arithmetic number, because the mean of its divisors is an integer number (1548604980).

Almost surely, 2^252740854080 is an apocalyptic number.

252740854080 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 252740854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520331273280).

252740854080 is an abundant number, since it is smaller than the sum of its proper divisors (787921692480).

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

252740854080 is a wasteful number, since it uses less digits than its factorization.

252740854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11679 (or 11666 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 252740854080 in words is "two hundred fifty-two billion, seven hundred forty million, eight hundred fifty-four thousand, eighty".