2813776896 has 352 divisors, whose sum is σ = 9338250240. Its totient is φ = 734920704.

The previous prime is 2813776883. The next prime is 2813776909. The reversal of 2813776896 is 6986773182.

It is an interprime number because it is at equal distance from previous prime (2813776883) and next prime (2813776909).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15719335 + ... + 15719513.

It is an arithmetic number, because the mean of its divisors is an integer number (26529120).

Almost surely, 2^2813776896 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 2813776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669125120).

2813776896 is an abundant number, since it is smaller than the sum of its proper divisors (6524473344).

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

2813776896 is a wasteful number, since it uses less digits than its factorization.

2813776896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 2813776896 is about 53045.0459138269. The cubic root of 2813776896 is about 1411.7676296933.

The spelling of 2813776896 in words is "two billion, eight hundred thirteen million, seven hundred seventy-six thousand, eight hundred ninety-six".