2565850560 has 448 divisors, whose sum is σ = 10470684672. Its totient is φ = 517423104.

The previous prime is 2565850541. The next prime is 2565850571. The reversal of 2565850560 is 650585652.

2565850560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2008642 + ... + 2009918.

It is an arithmetic number, because the mean of its divisors is an integer number (23372064).

Almost surely, 2^2565850560 is an apocalyptic number.

2565850560 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 2565850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235342336).

2565850560 is an abundant number, since it is smaller than the sum of its proper divisors (7904834112).

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

2565850560 is a wasteful number, since it uses less digits than its factorization.

2565850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The square root of 2565850560 is about 50654.2254900813. The cubic root of 2565850560 is about 1369.0220808133.

The spelling of 2565850560 in words is "two billion, five hundred sixty-five million, eight hundred fifty thousand, five hundred sixty".