2566536984080 has 20 divisors (see below), whose sum is σ = 5967198488172. Its totient is φ = 1026614793600.

The previous prime is 2566536984071. The next prime is 2566536984103. The reversal of 2566536984080 is 804896356652.

It can be written as a sum of positive squares in 2 ways, for example, as 2039995184656 + 526541799424 = 1428284^2 + 725632^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2566536984080² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 16040856071 + ... + 16040856230.

Almost surely, 2^{2566536984080} is an apocalyptic number.

2566536984080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566536984080 is an abundant number, since it is smaller than the sum of its proper divisors (3400661504092).

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

2566536984080 is a wasteful number, since it uses less digits than its factorization.

2566536984080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32081712314 (or 32081712308 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 62.

The spelling of 2566536984080 in words is "two trillion, five hundred sixty-six billion, five hundred thirty-six million, nine hundred eighty-four thousand, eighty".