2813380896 has 96 divisors (see below), whose sum is σ = 7567257600. Its totient is φ = 914800896.

The previous prime is 2813380883. The next prime is 2813380903. The reversal of 2813380896 is 6980833182.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2813380896² = 15830224131955525632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 1655055 + ... + 1656753.

It is an arithmetic number, because the mean of its divisors is an integer number (78825600).

Almost surely, 2^2813380896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813380896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783628800).

2813380896 is an abundant number, since it is smaller than the sum of its proper divisors (4753876704).

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

2813380896 is a wasteful number, since it uses less digits than its factorization.

2813380896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2813380896 is about 53041.3131059177. The cubic root of 2813380896 is about 1411.7013976938.

The spelling of 2813380896 in words is "two billion, eight hundred thirteen million, three hundred eighty thousand, eight hundred ninety-six".