2938067584 has 128 divisors (see below), whose sum is σ = 6409353600. Its totient is φ = 1336725504.

The previous prime is 2938067581. The next prime is 2938067599. The reversal of 2938067584 is 4857608392.

2938067584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2938067584² = 17264482256303194112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2938067581) 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, 9268194 + ... + 9268510.

It is an arithmetic number, because the mean of its divisors is an integer number (50073075).

Almost surely, 2^2938067584 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 2938067584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204676800).

2938067584 is an abundant number, since it is smaller than the sum of its proper divisors (3471286016).

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

2938067584 is a wasteful number, since it uses less digits than its factorization.

2938067584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 2938067584 is about 54203.9443583214. The cubic root of 2938067584 is about 1432.2558139782.

The spelling of 2938067584 in words is "two billion, nine hundred thirty-eight million, sixty-seven thousand, five hundred eighty-four".