2565795840 has 104 divisors (see below), whose sum is σ = 8209741008. Its totient is φ = 684195840.

The previous prime is 2565795833. The next prime is 2565795871. The reversal of 2565795840 is 485975652.

It is a super-2 number, since 2×2565795840² = 13166616585122611200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40560 + ... + 82320.

Almost surely, 2^2565795840 is an apocalyptic number.

2565795840 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 2565795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104870504).

2565795840 is an abundant number, since it is smaller than the sum of its proper divisors (5643945168).

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

2565795840 is an equidigital number, since it uses as much as digits as its factorization.

2565795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41793 (or 41771 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The square root of 2565795840 is about 50653.6853545722. The cubic root of 2565795840 is about 1369.0123487032.

The spelling of 2565795840 in words is "two billion, five hundred sixty-five million, seven hundred ninety-five thousand, eight hundred forty".