2564041349 has 2 divisors, whose sum is σ = 2564041350. Its totient is φ = 2564041348.

The previous prime is 2564041339. The next prime is 2564041369. The reversal of 2564041349 is 9431404652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2297764225 + 266277124 = 47935^2 + 16318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564041349 - 2²⁴ = 2547264133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564041309) by changing a digit.

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 as a sum of consecutive naturals, namely, 1282020674 + 1282020675.

It is an arithmetic number, because the mean of its divisors is an integer number (1282020675).

Almost surely, 2^2564041349 is an apocalyptic number.

It is an amenable number.

2564041349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564041349 is an equidigital number, since it uses as much as digits as its factorization.

2564041349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 2564041349 is about 50636.3638998694. The cubic root of 2564041349 is about 1368.7002340378.

The spelling of 2564041349 in words is "two billion, five hundred sixty-four million, forty-one thousand, three hundred forty-nine".