2567606079320 has 64 divisors (see below), whose sum is σ = 5919624244800. Its totient is φ = 1001720811520.

The previous prime is 2567606079271. The next prime is 2567606079377. The reversal of 2567606079320 is 239706067652.

It is a happy number.

It is a super-2 number, since 2×2567606079320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5888672 + ... + 6309648.

It is an arithmetic number, because the mean of its divisors is an integer number (92494128825).

Almost surely, 2^{2567606079320} is an apocalyptic number.

2567606079320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2567606079320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959812122400).

2567606079320 is an abundant number, since it is smaller than the sum of its proper divisors (3352018165480).

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

2567606079320 is a wasteful number, since it uses less digits than its factorization.

2567606079320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424748 (or 424744 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 2567606079320 in words is "two trillion, five hundred sixty-seven billion, six hundred six million, seventy-nine thousand, three hundred twenty".