2805792768 has 204 divisors, whose sum is σ = 8342407008. Its totient is φ = 908328960.

The previous prime is 2805792763. The next prime is 2805792799. The reversal of 2805792768 is 8672975082.

It is a happy number.

2805792768 is a `hidden beast` number, since 2 + 8 + 0 + 579 + 2 + 7 + 68 = 666.

It is a super-2 number, since 2×2805792768² = 15744946113922203648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805792763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39518173 + ... + 39518243.

It is an arithmetic number, because the mean of its divisors is an integer number (40894152).

Almost surely, 2^2805792768 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 2805792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171203504).

2805792768 is an abundant number, since it is smaller than the sum of its proper divisors (5536614240).

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

2805792768 is an frugal number, since it uses more digits than its factorization.

2805792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2805792768 is about 52969.7344527986. The cubic root of 2805792768 is about 1410.4310618053.

The spelling of 2805792768 in words is "two billion, eight hundred five million, seven hundred ninety-two thousand, seven hundred sixty-eight".