2138764608 has 112 divisors (see below), whose sum is σ = 6300581760. Its totient is φ = 711447552.

The previous prime is 2138764601. The next prime is 2138764609. The reversal of 2138764608 is 8064678312.

2138764608 is a `hidden beast` number, since 2 + 1 + 38 + 7 + 6 + 4 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138764601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117060 + ... + 1118972.

Almost surely, 2^2138764608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150290880).

2138764608 is an abundant number, since it is smaller than the sum of its proper divisors (4161817152).

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

2138764608 is a wasteful number, since it uses less digits than its factorization.

2138764608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2138764608 is about 46246.7794338157. The cubic root of 2138764608 is about 1288.4107199337.

The spelling of 2138764608 in words is "two billion, one hundred thirty-eight million, seven hundred sixty-four thousand, six hundred eight".