2688428800 has 108 divisors (see below), whose sum is σ = 6809729080. Its totient is φ = 1050255360.

The previous prime is 2688428791. The next prime is 2688428833. The reversal of 2688428800 is 88248862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270316 + ... + 280084.

Almost surely, 2^2688428800 is an apocalyptic number.

2688428800 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 2688428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404864540).

2688428800 is an abundant number, since it is smaller than the sum of its proper divisors (4121300280).

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

2688428800 is an equidigital number, since it uses as much as digits as its factorization.

2688428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 2688428800 is about 51850.0607521341. The cubic root of 2688428800 is about 1390.4845885585.

The spelling of 2688428800 in words is "two billion, six hundred eighty-eight million, four hundred twenty-eight thousand, eight hundred".