2566132560 has 60 divisors (see below), whose sum is σ = 8617930932. Its totient is φ = 684301824.

The previous prime is 2566132537. The next prime is 2566132561. The reversal of 2566132560 is 652316652.

It is a happy number.

2566132560 is a `hidden beast` number, since 2 + 5 + 6 + 61 + 32 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 356756544 + 2209376016 = 18888^2 + 47004^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×2566132560³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566132561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1781317 + ... + 1782756.

Almost surely, 2^2566132560 is an apocalyptic number.

2566132560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566132560 is an abundant number, since it is smaller than the sum of its proper divisors (6051798372).

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

2566132560 is a wasteful number, since it uses less digits than its factorization.

2566132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564092 (or 3564083 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2566132560 is about 50657.0089918463. The cubic root of 2566132560 is about 1369.0722331345.

The spelling of 2566132560 in words is "two billion, five hundred sixty-six million, one hundred thirty-two thousand, five hundred sixty".