2628800 has 84 divisors (see below), whose sum is σ = 6803136. Its totient is φ = 998400.

The previous prime is 2628781. The next prime is 2628809. The reversal of 2628800 is 88262.

It is a self number, because there is not a number n which added to its sum of digits gives 2628800.

It is not an unprimeable number, because it can be changed into a prime (2628809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49574 + ... + 49626.

2^2628800 is an apocalyptic number.

2628800 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 2628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401568).

2628800 is an abundant number, since it is smaller than the sum of its proper divisors (4174336).

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

2628800 is a wasteful number, since it uses less digits than its factorization.

2628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2628800 is about 1621.3574559609. The cubic root of 2628800 is about 138.0127412447.

The spelling of 2628800 in words is "two million, six hundred twenty-eight thousand, eight hundred".