2565726720 has 160 divisors (see below), whose sum is σ = 8231794560. Its totient is φ = 681738240.

The previous prime is 2565726719. The next prime is 2565726733. The reversal of 2565726720 is 276275652.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 3371140 + ... + 3371900.

It is an arithmetic number, because the mean of its divisors is an integer number (51448716).

Almost surely, 2^2565726720 is an apocalyptic number.

2565726720 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 2565726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115897280).

2565726720 is an abundant number, since it is smaller than the sum of its proper divisors (5666067840).

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

2565726720 is an equidigital number, since it uses as much as digits as its factorization.

2565726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 2565726720 is about 50653.0030699069. The cubic root of 2565726720 is about 1369.0000553136. Note that the first 4 decimals are identical.

The spelling of 2565726720 in words is "two billion, five hundred sixty-five million, seven hundred twenty-six thousand, seven hundred twenty".