2565860220 has 384 divisors, whose sum is σ = 10389012480. Its totient is φ = 509794560.

The previous prime is 2565860191. The next prime is 2565860233. The reversal of 2565860220 is 220685652.

2565860220 is a `hidden beast` number, since 2 + 56 + 586 + 0 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 954999 + ... + 957681.

It is an arithmetic number, because the mean of its divisors is an integer number (27054720).

Almost surely, 2^2565860220 is an apocalyptic number.

2565860220 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 2565860220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194506240).

2565860220 is an abundant number, since it is smaller than the sum of its proper divisors (7823152260).

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

2565860220 is a wasteful number, since it uses less digits than its factorization.

2565860220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2565860220 is about 50654.3208423526. The cubic root of 2565860220 is about 1369.0237988579.

The spelling of 2565860220 in words is "two billion, five hundred sixty-five million, eight hundred sixty thousand, two hundred twenty".