2157336000 has 504 divisors, whose sum is σ = 8242822224. Its totient is φ = 538444800.

The previous prime is 2157335963. The next prime is 2157336001. The reversal of 2157336000 is 6337512.

It is a happy number.

2157336000 is a `hidden beast` number, since 2 + 1 + 57 + 3 + 3 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157336001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 25991959 + ... + 25992041.

It is an arithmetic number, because the mean of its divisors is an integer number (16354806).

Almost surely, 2^2157336000 is an apocalyptic number.

2157336000 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 2157336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121411112).

2157336000 is an abundant number, since it is smaller than the sum of its proper divisors (6085486224).

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

2157336000 is a wasteful number, since it uses less digits than its factorization.

2157336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 2157336000 is about 46447.1312354165. The cubic root of 2157336000 is about 1292.1291681701.

The spelling of 2157336000 in words is "two billion, one hundred fifty-seven million, three hundred thirty-six thousand".