2938160 has 40 divisors (see below), whose sum is σ = 7194480. Its totient is φ = 1112832.

The previous prime is 2938129. The next prime is 2938163. The reversal of 2938160 is 618392.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2938163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (179862).

2^2938160 is an apocalyptic number.

2938160 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 2938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597240).

2938160 is an abundant number, since it is smaller than the sum of its proper divisors (4256320).

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

2938160 is a wasteful number, since it uses less digits than its factorization.

2938160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2938160 is about 1714.1061810751. The cubic root of 2938160 is about 143.2270830874.

The spelling of 2938160 in words is "two million, nine hundred thirty-eight thousand, one hundred sixty".