2628144 has 30 divisors (see below), whose sum is σ = 7355556. Its totient is φ = 876000.

The previous prime is 2628139. The next prime is 2628163. The reversal of 2628144 is 4418262.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8982 + ... + 9269.

2^2628144 is an apocalyptic number.

2628144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2628144 is an abundant number, since it is smaller than the sum of its proper divisors (4727412).

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

2628144 is a wasteful number, since it uses less digits than its factorization.

2628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265 (or 18256 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2628144 is about 1621.1551437170. The cubic root of 2628144 is about 138.0012602279.

It can be divided in two parts, 2628 and 144, that added together give a palindrome (2772).

The spelling of 2628144 in words is "two million, six hundred twenty-eight thousand, one hundred forty-four".