2256548580 has 288 divisors, whose sum is σ = 8321564160. Its totient is φ = 487388160.

The previous prime is 2256548579. The next prime is 2256548599. The reversal of 2256548580 is 858456522.

It is a happy number.

2256548580 is a `hidden beast` number, since 2 + 2 + 5 + 65 + 4 + 8 + 580 = 666.

It is a super-2 number, since 2×2256548580² = 10184022987800032800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744949 + ... + 747971.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 2^2256548580 is an apocalyptic number.

2256548580 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 2256548580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

2256548580 is an abundant number, since it is smaller than the sum of its proper divisors (6065015580).

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

2256548580 is a wasteful number, since it uses less digits than its factorization.

2256548580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 2256548580 is about 47503.1428433951. The cubic root of 2256548580 is about 1311.6407349957.

The spelling of 2256548580 in words is "two billion, two hundred fifty-six million, five hundred forty-eight thousand, five hundred eighty".