2137056768 has 480 divisors, whose sum is σ = 8119837440. Its totient is φ = 524206080.

The previous prime is 2137056731. The next prime is 2137056773. The reversal of 2137056768 is 8676507312.

2137056768 is a `hidden beast` number, since 2 + 13 + 70 + 567 + 6 + 8 = 666.

It is a congruent number.

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, 6741346 + ... + 6741662.

It is an arithmetic number, because the mean of its divisors is an integer number (16916328).

Almost surely, 2^2137056768 is an apocalyptic number.

2137056768 is a gapful number since it is divisible by the number (28) 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 2137056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059918720).

2137056768 is an abundant number, since it is smaller than the sum of its proper divisors (5982780672).

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

2137056768 is a wasteful number, since it uses less digits than its factorization.

2137056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2137056768 is about 46228.3113254205. The cubic root of 2137056768 is about 1288.0676893043.

The spelling of 2137056768 in words is "two billion, one hundred thirty-seven million, fifty-six thousand, seven hundred sixty-eight".