2799564561 has 48 divisors (see below), whose sum is σ = 4296399120. Its totient is φ = 1753920000.

The previous prime is 2799564553. The next prime is 2799564563. The reversal of 2799564561 is 1654659972.

2799564561 is a `hidden beast` number, since 2 + 79 + 9 + 5 + 6 + 4 + 561 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 370947600 + 2428616961 = 19260^2 + 49281^2 .

It is not a de Polignac number, because 2799564561 - 2³ = 2799564553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2799564498 and 2799564507.

It is not an unprimeable number, because it can be changed into a prime (2799564563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607151 + ... + 1608891.

It is an arithmetic number, because the mean of its divisors is an integer number (89508315).

Almost surely, 2^2799564561 is an apocalyptic number.

It is an amenable number.

2799564561 is a deficient number, since it is larger than the sum of its proper divisors (1496834559).

2799564561 is a wasteful number, since it uses less digits than its factorization.

2799564561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1935 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 2799564561 is about 52910.9115495093. The cubic root of 2799564561 is about 1409.3866790844.

The spelling of 2799564561 in words is "two billion, seven hundred ninety-nine million, five hundred sixty-four thousand, five hundred sixty-one".