2157900800 has 264 divisors, whose sum is σ = 5970034560. Its totient is φ = 766771200.

The previous prime is 2157900727. The next prime is 2157900827. The reversal of 2157900800 is 80097512.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22246352 + ... + 22246448.

Almost surely, 2^2157900800 is an apocalyptic number.

2157900800 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 2157900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985017280).

2157900800 is an abundant number, since it is smaller than the sum of its proper divisors (3812133760).

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

2157900800 is a wasteful number, since it uses less digits than its factorization.

2157900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 2157900800 is about 46453.2108685718. The cubic root of 2157900800 is about 1292.2419200202.

The spelling of 2157900800 in words is "two billion, one hundred fifty-seven million, nine hundred thousand, eight hundred".