2137320864 has 384 divisors, whose sum is σ = 7447265280. Its totient is φ = 583759872.

The previous prime is 2137320853. The next prime is 2137320901. The reversal of 2137320864 is 4680237312.

It is a happy number.

2137320864 is a `hidden beast` number, since 21 + 373 + 208 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20750637 + ... + 20750739.

It is an arithmetic number, because the mean of its divisors is an integer number (19393920).

Almost surely, 2^2137320864 is an apocalyptic number.

2137320864 is a gapful number since it is divisible by the number (24) 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 2137320864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723632640).

2137320864 is an abundant number, since it is smaller than the sum of its proper divisors (5309944416).

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

2137320864 is a wasteful number, since it uses less digits than its factorization.

2137320864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2137320864 is about 46231.1676685761. The cubic root of 2137320864 is about 1288.1207466240.

The spelling of 2137320864 in words is "two billion, one hundred thirty-seven million, three hundred twenty thousand, eight hundred sixty-four".