2137027200 has 768 divisors, whose sum is σ = 9106560000. Its totient is φ = 436531200.

The previous prime is 2137027187. The next prime is 2137027247. The reversal of 2137027200 is 27207312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36220771 + ... + 36220829.

It is an arithmetic number, because the mean of its divisors is an integer number (11857500).

Almost surely, 2^2137027200 is an apocalyptic number.

2137027200 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 2137027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280000).

2137027200 is an abundant number, since it is smaller than the sum of its proper divisors (6969532800).

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

2137027200 is a wasteful number, since it uses less digits than its factorization.

2137027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 2137027200 is about 46227.9915202900. The cubic root of 2137027200 is about 1288.0617487724.

The spelling of 2137027200 in words is "two billion, one hundred thirty-seven million, twenty-seven thousand, two hundred".