2564607660 has 48 divisors (see below), whose sum is σ = 7184085216. Its totient is φ = 683592192.

The previous prime is 2564607623. The next prime is 2564607667. The reversal of 2564607660 is 667064652.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2564607667) 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, 148854 + ... + 165186.

It is an arithmetic number, because the mean of its divisors is an integer number (149668442).

Almost surely, 2^2564607660 is an apocalyptic number.

2564607660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564607660 is an abundant number, since it is smaller than the sum of its proper divisors (4619477556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564607660 is a wasteful number, since it uses less digits than its factorization.

2564607660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18962 (or 18960 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2564607660 is about 50641.9555309627. The cubic root of 2564607660 is about 1368.8009933255.

The spelling of 2564607660 in words is "two billion, five hundred sixty-four million, six hundred seven thousand, six hundred sixty".