2038165632 has 256 divisors, whose sum is σ = 6446563200. Its totient is φ = 631701504.

The previous prime is 2038165627. The next prime is 2038165681. The reversal of 2038165632 is 2365618302.

It is a happy number.

2038165632 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 16 + 5 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6638823 + ... + 6639129.

Almost surely, 2^2038165632 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 2038165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223281600).

2038165632 is an abundant number, since it is smaller than the sum of its proper divisors (4408397568).

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

2038165632 is a wasteful number, since it uses less digits than its factorization.

2038165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2038165632 is about 45146.0478004443. The cubic root of 2038165632 is about 1267.8848857407.

The spelling of 2038165632 in words is "two billion, thirty-eight million, one hundred sixty-five thousand, six hundred thirty-two".