2157232800 has 144 divisors (see below), whose sum is σ = 7041111840. Its totient is φ = 573680640.

The previous prime is 2157232787. The next prime is 2157232807. The reversal of 2157232800 is 82327512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2157232807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062186 + ... + 1064214.

It is an arithmetic number, because the mean of its divisors is an integer number (48896610).

Almost surely, 2^2157232800 is an apocalyptic number.

2157232800 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 2157232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520555920).

2157232800 is an abundant number, since it is smaller than the sum of its proper divisors (4883879040).

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

2157232800 is a wasteful number, since it uses less digits than its factorization.

2157232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2157232800 is about 46446.0202816129. The cubic root of 2157232800 is about 1292.1085640769.

The spelling of 2157232800 in words is "two billion, one hundred fifty-seven million, two hundred thirty-two thousand, eight hundred".