2566565460 has 48 divisors (see below), whose sum is σ = 7984872000. Its totient is φ = 684417312.

The previous prime is 2566565459. The next prime is 2566565461. The reversal of 2566565460 is 645656652.

It is a happy number.

2566565460 is a `hidden beast` number, since 2 + 56 + 6 + 56 + 546 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2566565459) and next prime (2566565461).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566565461) 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, 2375910 + ... + 2376989.

It is an arithmetic number, because the mean of its divisors is an integer number (166351500).

Almost surely, 2^2566565460 is an apocalyptic number.

2566565460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566565460 is an abundant number, since it is smaller than the sum of its proper divisors (5418306540).

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

2566565460 is a wasteful number, since it uses less digits than its factorization.

2566565460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752917 (or 4752909 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 2566565460 is about 50661.2816655876. The cubic root of 2566565460 is about 1369.1492151339.

It can be divided in two parts, 25665 and 65460, that added together give a cube (91125 = 45³).

The spelling of 2566565460 in words is "two billion, five hundred sixty-six million, five hundred sixty-five thousand, four hundred sixty".