2688092160 has 384 divisors, whose sum is σ = 9510359040. Its totient is φ = 644087808.

The previous prime is 2688092117. The next prime is 2688092191. The reversal of 2688092160 is 612908862.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21166017 + ... + 21166143.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^2688092160 is an apocalyptic number.

2688092160 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 2688092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

2688092160 is an abundant number, since it is smaller than the sum of its proper divisors (6822266880).

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

2688092160 is a wasteful number, since it uses less digits than its factorization.

2688092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2688092160 is about 51846.8143669406. The cubic root of 2688092160 is about 1390.4265481805.

The spelling of 2688092160 in words is "two billion, six hundred eighty-eight million, ninety-two thousand, one hundred sixty".