2628400 has 30 divisors (see below), whose sum is σ = 6315692. Its totient is φ = 1051200.

The previous prime is 2628383. The next prime is 2628401. The reversal of 2628400 is 48262.

It is not an unprimeable number, because it can be changed into a prime (2628401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2886 + ... + 3685.

2^2628400 is an apocalyptic number.

2628400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628400 is an abundant number, since it is smaller than the sum of its proper divisors (3687292).

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

2628400 is a wasteful number, since it uses less digits than its factorization.

2628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2628400 is about 1621.2340978403. The cubic root of 2628400 is about 138.0057408520.

The spelling of 2628400 in words is "two million, six hundred twenty-eight thousand, four hundred".