2038189920 has 96 divisors (see below), whose sum is σ = 6914188512. Its totient is φ = 501706752.

The previous prime is 2038189913. The next prime is 2038189961. The reversal of 2038189920 is 299818302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157077 + ... + 169556.

It is an arithmetic number, because the mean of its divisors is an integer number (72022797).

Almost surely, 2^2038189920 is an apocalyptic number.

2038189920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038189920 is an abundant number, since it is smaller than the sum of its proper divisors (4875998592).

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

2038189920 is a wasteful number, since it uses less digits than its factorization.

2038189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326664 (or 326656 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2038189920 is about 45146.3167932889. The cubic root of 2038189920 is about 1267.8899220121.

The spelling of 2038189920 in words is "two billion, thirty-eight million, one hundred eighty-nine thousand, nine hundred twenty".