2688612056 has 64 divisors (see below), whose sum is σ = 5525520000. Its totient is φ = 1218986496.

The previous prime is 2688612053. The next prime is 2688612077. The reversal of 2688612056 is 6502168862.

It is a junction number, because it is equal to n+sod(n) for n = 2688611998 and 2688612016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688612053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1880750 + ... + 1882178.

It is an arithmetic number, because the mean of its divisors is an integer number (86336250).

Almost surely, 2^2688612056 is an apocalyptic number.

2688612056 is a gapful number since it is divisible by the number (26) 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 2688612056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762760000).

2688612056 is an abundant number, since it is smaller than the sum of its proper divisors (2836907944).

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

2688612056 is a wasteful number, since it uses less digits than its factorization.

2688612056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 2688612056 is about 51851.8278944918. The cubic root of 2688612056 is about 1390.5161818388.

The spelling of 2688612056 in words is "two billion, six hundred eighty-eight million, six hundred twelve thousand, fifty-six".