2138932656 has 560 divisors, whose sum is σ = 7962776064. Its totient is φ = 541956096.

The previous prime is 2138932643. The next prime is 2138932661. The reversal of 2138932656 is 6562398312.

2138932656 is a `hidden beast` number, since 2 + 1 + 389 + 3 + 265 + 6 = 666.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 31924335 + ... + 31924401.

Almost surely, 2^2138932656 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 2138932656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981388032).

2138932656 is an abundant number, since it is smaller than the sum of its proper divisors (5823843408).

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

2138932656 is a wasteful number, since it uses less digits than its factorization.

2138932656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2138932656 is about 46248.5962597785. The cubic root of 2138932656 is about 1288.4444635839. Note that the first 4 decimals are identical.

It can be divided in two parts, 21389 and 32656, that added together give a palindrome (54045).

The spelling of 2138932656 in words is "two billion, one hundred thirty-eight million, nine hundred thirty-two thousand, six hundred fifty-six".