2688082200 has 120 divisors (see below), whose sum is σ = 9336163980. Its totient is φ = 716817600.

The previous prime is 2688082147. The next prime is 2688082231. The reversal of 2688082200 is 22808862.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 66766 + ... + 99165.

Almost surely, 2^2688082200 is an apocalyptic number.

2688082200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2688082200 is an abundant number, since it is smaller than the sum of its proper divisors (6648081780).

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

2688082200 is a wasteful number, since it uses less digits than its factorization.

2688082200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165959 (or 165941 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2688082200 is about 51846.7183146629. The cubic root of 2688082200 is about 1390.4248308949.

The spelling of 2688082200 in words is "two billion, six hundred eighty-eight million, eighty-two thousand, two hundred".