2038988160 has 512 divisors, whose sum is σ = 8354534400. Its totient is φ = 464486400.

The previous prime is 2038988129. The next prime is 2038988191. The reversal of 2038988160 is 618898302.

It is an interprime number because it is at equal distance from previous prime (2038988129) and next prime (2038988191).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231045 + ... + 3231675.

It is an arithmetic number, because the mean of its divisors is an integer number (16317450).

Almost surely, 2^2038988160 is an apocalyptic number.

2038988160 is a gapful number since it is divisible by the number (20) 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 2038988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177267200).

2038988160 is an abundant number, since it is smaller than the sum of its proper divisors (6315546240).

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

2038988160 is a wasteful number, since it uses less digits than its factorization.

2038988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2038988160 is about 45155.1565161721. The cubic root of 2038988160 is about 1268.0554198960.

The spelling of 2038988160 in words is "two billion, thirty-eight million, nine hundred eighty-eight thousand, one hundred sixty".