2688000 has 176 divisors, whose sum is σ = 10218624. Its totient is φ = 614400.

The previous prime is 2687999. The next prime is 2688017. The reversal of 2688000 is 8862.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383997 + ... + 384003.

2^2688000 is an apocalyptic number.

2688000 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 2688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109312).

2688000 is an abundant number, since it is smaller than the sum of its proper divisors (7530624).

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

2688000 is an equidigital number, since it uses as much as digits as its factorization.

2688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2688000 is about 1639.5121225535. The cubic root of 2688000 is about 139.0410657955.

The spelling of 2688000 in words is "two million, six hundred eighty-eight thousand".