2137661568 has 192 divisors, whose sum is σ = 7150852800. Its totient is φ = 600274944.

The previous prime is 2137661527. The next prime is 2137661573. The reversal of 2137661568 is 8651667312.

2137661568 is a `hidden beast` number, since 2 + 13 + 76 + 6 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473530 + ... + 478022.

It is an arithmetic number, because the mean of its divisors is an integer number (37244025).

Almost surely, 2^2137661568 is an apocalyptic number.

2137661568 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 2137661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575426400).

2137661568 is an abundant number, since it is smaller than the sum of its proper divisors (5013191232).

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

2137661568 is a wasteful number, since it uses less digits than its factorization.

2137661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4564 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2137661568 is about 46234.8523086210. The cubic root of 2137661568 is about 1288.1891881607.

It can be divided in two parts, 21376 and 61568, that added together give a square (82944 = 288²).

The spelling of 2137661568 in words is "two billion, one hundred thirty-seven million, six hundred sixty-one thousand, five hundred sixty-eight".