2157472800 has 576 divisors, whose sum is σ = 9399398400. Its totient is φ = 466560000.

The previous prime is 2157472799. The next prime is 2157472871. The reversal of 2157472800 is 82747512.

2157472800 is a `hidden beast` number, since 2 + 1 + 574 + 7 + 2 + 80 + 0 = 666.

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

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, 2872425 + ... + 2873175.

It is an arithmetic number, because the mean of its divisors is an integer number (16318400).

Almost surely, 2^2157472800 is an apocalyptic number.

2157472800 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 2157472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699699200).

2157472800 is an abundant number, since it is smaller than the sum of its proper divisors (7241925600).

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

2157472800 is a wasteful number, since it uses less digits than its factorization.

2157472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2157472800 is about 46448.6038541526. The cubic root of 2157472800 is about 1292.1564795601.

The spelling of 2157472800 in words is "two billion, one hundred fifty-seven million, four hundred seventy-two thousand, eight hundred".