2688806800 has 120 divisors (see below), whose sum is σ = 6606452160. Its totient is φ = 1051353600.

The previous prime is 2688806797. The next prime is 2688806801. The reversal of 2688806800 is 86088862.

It is not an unprimeable number, because it can be changed into a prime (2688806801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6416991 + ... + 6417409.

It is an arithmetic number, because the mean of its divisors is an integer number (55053768).

Almost surely, 2^2688806800 is an apocalyptic number.

2688806800 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 2688806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303226080).

2688806800 is an abundant number, since it is smaller than the sum of its proper divisors (3917645360).

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

2688806800 is a wasteful number, since it uses less digits than its factorization.

2688806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 2688806800 is about 51853.7057499269. The cubic root of 2688806800 is about 1390.5497540736.

The spelling of 2688806800 in words is "two billion, six hundred eighty-eight million, eight hundred six thousand, eight hundred".