2137768600 has 48 divisors (see below), whose sum is σ = 5422164120. Its totient is φ = 777369600.

The previous prime is 2137768583. The next prime is 2137768609. The reversal of 2137768600 is 68677312.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137768609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483657 + ... + 488056.

Almost surely, 2^2137768600 is an apocalyptic number.

2137768600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137768600 is an abundant number, since it is smaller than the sum of its proper divisors (3284395520).

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

2137768600 is a wasteful number, since it uses less digits than its factorization.

2137768600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971740 (or 971731 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2137768600 is about 46236.0097759311. The cubic root of 2137768600 is about 1288.2106875359.

The spelling of 2137768600 in words is "two billion, one hundred thirty-seven million, seven hundred sixty-eight thousand, six hundred".