2567765860 has 24 divisors (see below), whose sum is σ = 5882518656. Its totient is φ = 933732960.

The previous prime is 2567765857. The next prime is 2567765881. The reversal of 2567765860 is 685677652.

It is a junction number, because it is equal to n+sod(n) for n = 2567765798 and 2567765807.

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 7 ways as a sum of consecutive naturals, for example, 5835612 + ... + 5836051.

It is an arithmetic number, because the mean of its divisors is an integer number (245104944).

Almost surely, 2^2567765860 is an apocalyptic number.

2567765860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2567765860 is an abundant number, since it is smaller than the sum of its proper divisors (3314752796).

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

2567765860 is a wasteful number, since it uses less digits than its factorization.

2567765860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11671683 (or 11671681 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The square root of 2567765860 is about 50673.1275924429. The cubic root of 2567765860 is about 1369.3626353097.

The spelling of 2567765860 in words is "two billion, five hundred sixty-seven million, seven hundred sixty-five thousand, eight hundred sixty".