2255820 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 499200.

The previous prime is 2255797. The next prime is 2255821. The reversal of 2255820 is 285522.

2255820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255821) 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 31 ways as a sum of consecutive naturals, for example, 17155 + ... + 17285.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

2^2255820 is an apocalyptic number.

2255820 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 2255820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2255820 is an abundant number, since it is smaller than the sum of its proper divisors (5195316).

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

2255820 is a wasteful number, since it uses less digits than its factorization.

2255820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2255820 is about 1501.9387470866. The cubic root of 2255820 is about 131.1499555071.

It can be divided in two parts, 22558 and 20, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 2255820 in words is "two million, two hundred fifty-five thousand, eight hundred twenty".