2138929632 has 192 divisors, whose sum is σ = 7163251200. Its totient is φ = 608256000.

The previous prime is 2138929619. The next prime is 2138929649. The reversal of 2138929632 is 2369298312.

It is a happy number.

2138929632 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 9 + 2 + 9 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517344 + ... + 1518752.

It is an arithmetic number, because the mean of its divisors is an integer number (37308600).

Almost surely, 2^2138929632 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 2138929632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581625600).

2138929632 is an abundant number, since it is smaller than the sum of its proper divisors (5024321568).

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

2138929632 is a wasteful number, since it uses less digits than its factorization.

2138929632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1672 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2138929632 is about 46248.5635668828. The cubic root of 2138929632 is about 1288.4438563873.

The spelling of 2138929632 in words is "two billion, one hundred thirty-eight million, nine hundred twenty-nine thousand, six hundred thirty-two".