2569855680 has 224 divisors, whose sum is σ = 10361249280. Its totient is φ = 587381760.

The previous prime is 2569855667. The next prime is 2569855681. The reversal of 2569855680 is 865589652.

2569855680 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 8 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2569855681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39235 + ... + 81725.

Almost surely, 2^2569855680 is an apocalyptic number.

2569855680 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 2569855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180624640).

2569855680 is an abundant number, since it is smaller than the sum of its proper divisors (7791393600).

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

2569855680 is a wasteful number, since it uses less digits than its factorization.

2569855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42524 (or 42508 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The square root of 2569855680 is about 50693.7439927256. The cubic root of 2569855680 is about 1369.7340276115.

The spelling of 2569855680 in words is "two billion, five hundred sixty-nine million, eight hundred fifty-five thousand, six hundred eighty".