2564716649 has 16 divisors (see below), whose sum is σ = 2839613760. Its totient is φ = 2296968960.

The previous prime is 2564716621. The next prime is 2564716657. The reversal of 2564716649 is 9466174652.

It is not a de Polignac number, because 2564716649 - 2⁸ = 2564716393 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2564716597 and 2564716606.

It is not an unprimeable number, because it can be changed into a prime (2564716619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272429 + ... + 281685.

It is an arithmetic number, because the mean of its divisors is an integer number (177475860).

Almost surely, 2^2564716649 is an apocalyptic number.

It is an amenable number.

2564716649 is a deficient number, since it is larger than the sum of its proper divisors (274897111).

2564716649 is a wasteful number, since it uses less digits than its factorization.

2564716649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640.

The product of its digits is 2177280, while the sum is 50.

The square root of 2564716649 is about 50643.0315936951. The cubic root of 2564716649 is about 1368.8203831839.

The spelling of 2564716649 in words is "two billion, five hundred sixty-four million, seven hundred sixteen thousand, six hundred forty-nine".