2564693729 has 16 divisors (see below), whose sum is σ = 3051603072. Its totient is φ = 2131269888.

The previous prime is 2564693711. The next prime is 2564693731. The reversal of 2564693729 is 9273964652.

It is a cyclic number.

It is not a de Polignac number, because 2564693729 - 2¹⁶ = 2564628193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564693749) 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, 247199 + ... + 257364.

It is an arithmetic number, because the mean of its divisors is an integer number (190725192).

Almost surely, 2^2564693729 is an apocalyptic number.

It is an amenable number.

2564693729 is a deficient number, since it is larger than the sum of its proper divisors (486909343).

2564693729 is a wasteful number, since it uses less digits than its factorization.

2564693729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504616.

The product of its digits is 4898880, while the sum is 53.

The square root of 2564693729 is about 50642.8053034190. The cubic root of 2564693729 is about 1368.8163056111.

The spelling of 2564693729 in words is "two billion, five hundred sixty-four million, six hundred ninety-three thousand, seven hundred twenty-nine".