2688400 has 120 divisors (see below), whose sum is σ = 7749504. Its totient is φ = 883200.

The previous prime is 2688391. The next prime is 2688419. The reversal of 2688400 is 48862.

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 23 ways as a sum of consecutive naturals, for example, 57177 + ... + 57223.

2^2688400 is an apocalyptic number.

2688400 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 2688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874752).

2688400 is an abundant number, since it is smaller than the sum of its proper divisors (5061104).

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

2688400 is a wasteful number, since it uses less digits than its factorization.

2688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2688400 is about 1639.6341055248. The cubic root of 2688400 is about 139.0479623316.

It can be divided in two parts, 268 and 8400, that added together give a palindrome (8668).

The spelling of 2688400 in words is "two million, six hundred eighty-eight thousand, four hundred".