2038081920 has 128 divisors (see below), whose sum is σ = 7424490240. Its totient is φ = 465844224.

The previous prime is 2038081897. The next prime is 2038081921. The reversal of 2038081920 is 291808302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038081921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62382 + ... + 89261.

It is an arithmetic number, because the mean of its divisors is an integer number (58003830).

Almost surely, 2^2038081920 is an apocalyptic number.

2038081920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038081920 is an abundant number, since it is smaller than the sum of its proper divisors (5386408320).

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

2038081920 is a wasteful number, since it uses less digits than its factorization.

2038081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151672 (or 151660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2038081920 is about 45145.1206665792. The cubic root of 2038081920 is about 1267.8675272181.

The spelling of 2038081920 in words is "two billion, thirty-eight million, eighty-one thousand, nine hundred twenty".