2688320 has 56 divisors (see below), whose sum is σ = 6632448. Its totient is φ = 1036800.

The previous prime is 2688313. The next prime is 2688337. The reversal of 2688320 is 238862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9785 + ... + 10055.

2^2688320 is an apocalyptic number.

2688320 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 2688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316224).

2688320 is an abundant number, since it is smaller than the sum of its proper divisors (3944128).

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

2688320 is a wasteful number, since it uses less digits than its factorization.

2688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2688320 is about 1639.6097096565. The cubic root of 2688320 is about 139.0465830791.

The spelling of 2688320 in words is "two million, six hundred eighty-eight thousand, three hundred twenty".