252981780480 has 672 divisors, whose sum is σ = 1030477593600. Its totient is φ = 56599511040.

The previous prime is 252981780449. The next prime is 252981780509. The reversal of 252981780480 is 84087189252.

252981780480 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 81 + 7 + 80 + 480 = 666.

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, 52713121 + ... + 52717919.

It is an arithmetic number, because the mean of its divisors is an integer number (1533448800).

Almost surely, 2^252981780480 is an apocalyptic number.

252981780480 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 252981780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515238796800).

252981780480 is an abundant number, since it is smaller than the sum of its proper divisors (777495813120).

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

252981780480 is a wasteful number, since it uses less digits than its factorization.

252981780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 252981780480 in words is "two hundred fifty-two billion, nine hundred eighty-one million, seven hundred eighty thousand, four hundred eighty".