2564717049 has 12 divisors (see below), whose sum is σ = 3804715876. Its totient is φ = 1663600032.

The previous prime is 2564717039. The next prime is 2564717059. The reversal of 2564717049 is 9407174652.

It is an interprime number because it is at equal distance from previous prime (2564717039) and next prime (2564717059).

It can be written as a sum of positive squares in 2 ways, for example, as 2296805625 + 267911424 = 47925^2 + 16368^2 .

It is not a de Polignac number, because 2564717049 - 2²⁷ = 2430499321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2564716995 and 2564717013.

It is not an unprimeable number, because it can be changed into a prime (2564717039) 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, 3850594 + ... + 3851259.

Almost surely, 2^2564717049 is an apocalyptic number.

It is an amenable number.

2564717049 is a deficient number, since it is larger than the sum of its proper divisors (1239998827).

2564717049 is a wasteful number, since it uses less digits than its factorization.

2564717049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701896 (or 7701893 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2564717049 is about 50643.0355429056. The cubic root of 2564717049 is about 1368.8204543455.

The spelling of 2564717049 in words is "two billion, five hundred sixty-four million, seven hundred seventeen thousand, forty-nine".