2668400 has 60 divisors (see below), whose sum is σ = 7334352. Its totient is φ = 913920.

The previous prime is 2668399. The next prime is 2668411. The reversal of 2668400 is 48662.

2668400 = 23³ + 24³ + ... + 57³.

2668400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2668400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2324 + ... + 3276.

2^2668400 is an apocalyptic number.

2668400 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 2668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667176).

2668400 is an abundant number, since it is smaller than the sum of its proper divisors (4665952).

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

2668400 is a wasteful number, since it uses less digits than its factorization.

2668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2668400 is about 1633.5237984186. The cubic root of 2668400 is about 138.7022940178.

The spelling of 2668400 in words is "two million, six hundred sixty-eight thousand, four hundred".