2813605680 has 80 divisors (see below), whose sum is σ = 8806936320. Its totient is φ = 743003904.

The previous prime is 2813605651. The next prime is 2813605681. The reversal of 2813605680 is 865063182.

It is a happy number.

2813605680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2813605681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32190 + ... + 81629.

It is an arithmetic number, because the mean of its divisors is an integer number (110086704).

Almost surely, 2^2813605680 is an apocalyptic number.

2813605680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813605680 is an abundant number, since it is smaller than the sum of its proper divisors (5993330640).

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

2813605680 is a wasteful number, since it uses less digits than its factorization.

2813605680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113938 (or 113932 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2813605680 is about 53043.4320156605. The cubic root of 2813605680 is about 1411.7389941477.

The spelling of 2813605680 in words is "two billion, eight hundred thirteen million, six hundred five thousand, six hundred eighty".