2255580 has 48 divisors (see below), whose sum is σ = 7019040. Its totient is φ = 601344.

The previous prime is 2255573. The next prime is 2255581. The reversal of 2255580 is 855522.

2255580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2255580³ = 34426744783323336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255581) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1549 + ... + 2628.

It is an arithmetic number, because the mean of its divisors is an integer number (146230).

2^2255580 is an apocalyptic number.

2255580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255580 is an abundant number, since it is smaller than the sum of its proper divisors (4763460).

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

2255580 is a wasteful number, since it uses less digits than its factorization.

2255580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2255580 is about 1501.8588482278. The cubic root of 2255580 is about 131.1453042634.

The spelling of 2255580 in words is "two million, two hundred fifty-five thousand, five hundred eighty".