2668800 has 108 divisors (see below), whose sum is σ = 8870960. Its totient is φ = 706560.

The previous prime is 2668793. The next prime is 2668829. The reversal of 2668800 is 88662.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 19131 + ... + 19269.

2^2668800 is an apocalyptic number.

2668800 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 2668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435480).

2668800 is an abundant number, since it is smaller than the sum of its proper divisors (6202160).

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

2668800 is a wasteful number, since it uses less digits than its factorization.

2668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2668800 is about 1633.6462285330. The cubic root of 2668800 is about 138.7092242813.

The spelling of 2668800 in words is "two million, six hundred sixty-eight thousand, eight hundred".