2680682056 has 96 divisors (see below), whose sum is σ = 5584449960. Its totient is φ = 1205508096.

The previous prime is 2680682033. The next prime is 2680682057. The reversal of 2680682056 is 6502860862.

It can be written as a sum of positive squares in 12 ways, for example, as 76212900 + 2604469156 = 8730^2 + 51034^2 .

It is not an unprimeable number, because it can be changed into a prime (2680682057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15495186 + ... + 15495358.

Almost surely, 2^2680682056 is an apocalyptic number.

2680682056 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 2680682056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792224980).

2680682056 is an abundant number, since it is smaller than the sum of its proper divisors (2903767904).

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

2680682056 is a wasteful number, since it uses less digits than its factorization.

2680682056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 2680682056 is about 51775.3035336346. The cubic root of 2680682056 is about 1389.1477369581.

The spelling of 2680682056 in words is "two billion, six hundred eighty million, six hundred eighty-two thousand, fifty-six".