2137681920 has 208 divisors, whose sum is σ = 7463901312. Its totient is φ = 518062080.

The previous prime is 2137681891. The next prime is 2137681943. The reversal of 2137681920 is 291867312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674259 + ... + 677421.

Almost surely, 2^2137681920 is an apocalyptic number.

2137681920 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 2137681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731950656).

2137681920 is an abundant number, since it is smaller than the sum of its proper divisors (5326219392).

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

2137681920 is a wasteful number, since it uses less digits than its factorization.

2137681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2137681920 is about 46235.0724018034. The cubic root of 2137681920 is about 1288.1932762951.

The spelling of 2137681920 in words is "two billion, one hundred thirty-seven million, six hundred eighty-one thousand, nine hundred twenty".