2564340814 has 96 divisors (see below), whose sum is σ = 4854867840. Its totient is φ = 1009713600.

The previous prime is 2564340811. The next prime is 2564340853. The reversal of 2564340814 is 4180434652.

2564340814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564340811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12153169 + ... + 12153379.

It is an arithmetic number, because the mean of its divisors is an integer number (50571540).

Almost surely, 2^2564340814 is an apocalyptic number.

2564340814 is a deficient number, since it is larger than the sum of its proper divisors (2290527026).

2564340814 is a wasteful number, since it uses less digits than its factorization.

2564340814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 2564340814 is about 50639.3208287789. The cubic root of 2564340814 is about 1368.7535173516.

The spelling of 2564340814 in words is "two billion, five hundred sixty-four million, three hundred forty thousand, eight hundred fourteen".