2688940800 has 1296 divisors, whose sum is σ = 12916117760. Its totient is φ = 537477120.

The previous prime is 2688940799. The next prime is 2688940831. The reversal of 2688940800 is 80498862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141523191 + ... + 141523209.

Almost surely, 2^2688940800 is an apocalyptic number.

2688940800 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 2688940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458058880).

2688940800 is an abundant number, since it is smaller than the sum of its proper divisors (10227176960).

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

2688940800 is a wasteful number, since it uses less digits than its factorization.

2688940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2688940800 is about 51854.9978304888. The cubic root of 2688940800 is about 1390.5728536100.

The spelling of 2688940800 in words is "two billion, six hundred eighty-eight million, nine hundred forty thousand, eight hundred".