2038675072 has 128 divisors (see below), whose sum is σ = 5044838400. Its totient is φ = 800824320.

The previous prime is 2038675063. The next prime is 2038675211. The reversal of 2038675072 is 2705768302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525813 + ... + 529675.

It is an arithmetic number, because the mean of its divisors is an integer number (39412800).

Almost surely, 2^2038675072 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 2038675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522419200).

2038675072 is an abundant number, since it is smaller than the sum of its proper divisors (3006163328).

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

2038675072 is a wasteful number, since it uses less digits than its factorization.

2038675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 2038675072 is about 45151.6895807898. The cubic root of 2038675072 is about 1267.9905129868.

The spelling of 2038675072 in words is "two billion, thirty-eight million, six hundred seventy-five thousand, seventy-two".