2688368360 has 64 divisors (see below), whose sum is σ = 6396364800. Its totient is φ = 1015257600.

The previous prime is 2688368359. The next prime is 2688368383. The reversal of 2688368360 is 638638862.

2688368360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2688368299 and 2688368308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24401 + ... + 77279.

It is an arithmetic number, because the mean of its divisors is an integer number (99943200).

Almost surely, 2^2688368360 is an apocalyptic number.

2688368360 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 2688368360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198182400).

2688368360 is an abundant number, since it is smaller than the sum of its proper divisors (3707996440).

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

2688368360 is a wasteful number, since it uses less digits than its factorization.

2688368360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52962 (or 52958 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The square root of 2688368360 is about 51849.4779144400. The cubic root of 2688368360 is about 1390.4741684055.

The spelling of 2688368360 in words is "two billion, six hundred eighty-eight million, three hundred sixty-eight thousand, three hundred sixty".