2806736960 has 56 divisors (see below), whose sum is σ = 6713159040. Its totient is φ = 1117720064.

The previous prime is 2806736939. The next prime is 2806736971. The reversal of 2806736960 is 696376082.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 53321 + ... + 91959.

It is an arithmetic number, because the mean of its divisors is an integer number (119877840).

Almost surely, 2^2806736960 is an apocalyptic number.

2806736960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356579520).

2806736960 is an abundant number, since it is smaller than the sum of its proper divisors (3906422080).

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

2806736960 is a wasteful number, since it uses less digits than its factorization.

2806736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38883 (or 38873 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The square root of 2806736960 is about 52978.6462643205. The cubic root of 2806736960 is about 1410.5892545732.

The spelling of 2806736960 in words is "two billion, eight hundred six million, seven hundred thirty-six thousand, nine hundred sixty".