2813671296 has 128 divisors (see below), whose sum is σ = 8445600000. Its totient is φ = 921927168.

The previous prime is 2813671279. The next prime is 2813671313. The reversal of 2813671296 is 6921763182.

2813671296 is a `hidden beast` number, since 281 + 367 + 1 + 2 + 9 + 6 = 666.

2813671296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2813671279) and next prime (2813671313).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197005 + ... + 210803.

It is an arithmetic number, because the mean of its divisors is an integer number (65981250).

Almost surely, 2^2813671296 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 2813671296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222800000).

2813671296 is an abundant number, since it is smaller than the sum of its proper divisors (5631928704).

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

2813671296 is a wasteful number, since it uses less digits than its factorization.

2813671296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13881 (or 13863 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2813671296 is about 53044.0505240691. The cubic root of 2813671296 is about 1411.7499684344.

The spelling of 2813671296 in words is "two billion, eight hundred thirteen million, six hundred seventy-one thousand, two hundred ninety-six".