2938144 has 48 divisors (see below), whose sum is σ = 6695136. Its totient is φ = 1254400.

The previous prime is 2938129. The next prime is 2938163. The reversal of 2938144 is 4418392.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5739 + ... + 6229.

It is an arithmetic number, because the mean of its divisors is an integer number (139482).

2^2938144 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 2938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347568).

2938144 is an abundant number, since it is smaller than the sum of its proper divisors (3756992).

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

2938144 is a wasteful number, since it uses less digits than its factorization.

2938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 2938144 is about 1714.1015139133. The cubic root of 2938144 is about 143.2268231019.

The spelling of 2938144 in words is "two million, nine hundred thirty-eight thousand, one hundred forty-four".