2137104200 has 192 divisors, whose sum is σ = 6282990720. Its totient is φ = 656640000.

The previous prime is 2137104191. The next prime is 2137104227. The reversal of 2137104200 is 24017312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123250 + ... + 1125150.

It is an arithmetic number, because the mean of its divisors is an integer number (32723910).

Almost surely, 2^2137104200 is an apocalyptic number.

2137104200 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 2137104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141495360).

2137104200 is an abundant number, since it is smaller than the sum of its proper divisors (4145886520).

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

2137104200 is a wasteful number, since it uses less digits than its factorization.

2137104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2137104200 is about 46228.8243415296. The cubic root of 2137104200 is about 1288.0772187929.

The spelling of 2137104200 in words is "two billion, one hundred thirty-seven million, one hundred four thousand, two hundred".