2606564560 has 40 divisors (see below), whose sum is σ = 6062565096. Its totient is φ = 1042229760.

The previous prime is 2606564551. The next prime is 2606564591. The reversal of 2606564560 is 654656062.

It can be written as a sum of positive squares in 4 ways, for example, as 392673856 + 2213890704 = 19816^2 + 47052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299470 + ... + 308050.

Almost surely, 2^2606564560 is an apocalyptic number.

2606564560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2606564560 is an abundant number, since it is smaller than the sum of its proper divisors (3456000536).

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

2606564560 is a wasteful number, since it uses less digits than its factorization.

2606564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12391 (or 12385 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 2606564560 is about 51054.5253625964. The cubic root of 2606564560 is about 1376.2251665278.

The spelling of 2606564560 in words is "two billion, six hundred six million, five hundred sixty-four thousand, five hundred sixty".