2564016345 has 24 divisors (see below), whose sum is σ = 4848322752. Its totient is φ = 1243159200.

The previous prime is 2564016331. The next prime is 2564016359. The reversal of 2564016345 is 5436104652.

2564016345 is a `hidden beast` number, since 2 + 5 + 640 + 1 + 6 + 3 + 4 + 5 = 666.

2564016345 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2564016331) and next prime (2564016359).

It is not a de Polignac number, because 2564016345 - 2¹² = 2564012249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589421 + ... + 2590410.

It is an arithmetic number, because the mean of its divisors is an integer number (202013448).

Almost surely, 2^2564016345 is an apocalyptic number.

It is an amenable number.

2564016345 is a deficient number, since it is larger than the sum of its proper divisors (2284306407).

2564016345 is a wasteful number, since it uses less digits than its factorization.

2564016345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179853 (or 5179850 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2564016345 is about 50636.1170016027. The cubic root of 2564016345 is about 1368.6957849296.

The spelling of 2564016345 in words is "two billion, five hundred sixty-four million, sixteen thousand, three hundred forty-five".