2765984672 has 48 divisors (see below), whose sum is σ = 6132236544. Its totient is φ = 1216704000.

The previous prime is 2765984659. The next prime is 2765984729. The reversal of 2765984672 is 2764895672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115829 + ... + 137652.

It is an arithmetic number, because the mean of its divisors is an integer number (127754928).

Almost surely, 2^2765984672 is an apocalyptic number.

2765984672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2765984672 is an abundant number, since it is smaller than the sum of its proper divisors (3366251872).

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

2765984672 is a wasteful number, since it uses less digits than its factorization.

2765984672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253533 (or 253525 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 56.

The square root of 2765984672 is about 52592.6294455792. The cubic root of 2765984672 is about 1403.7289487926.

The spelling of 2765984672 in words is "two billion, seven hundred sixty-five million, nine hundred eighty-four thousand, six hundred seventy-two".