2157651200 has 108 divisors (see below), whose sum is σ = 5442143868. Its totient is φ = 846643200.

The previous prime is 2157651149. The next prime is 2157651227. The reversal of 2157651200 is 21567512.

It can be written as a sum of positive squares in 6 ways, for example, as 54878464 + 2102772736 = 7408^2 + 45856^2 .

It is a super-2 number, since 2×2157651200² = 9310917401722880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336020 + ... + 342380.

It is an arithmetic number, because the mean of its divisors is an integer number (50390221).

Almost surely, 2^2157651200 is an apocalyptic number.

2157651200 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 2157651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721071934).

2157651200 is an abundant number, since it is smaller than the sum of its proper divisors (3284492668).

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

2157651200 is an equidigital number, since it uses as much as digits as its factorization.

2157651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 2157651200 is about 46450.5242166329. The cubic root of 2157651200 is about 1292.1920944335.

The spelling of 2157651200 in words is "two billion, one hundred fifty-seven million, six hundred fifty-one thousand, two hundred".