2256180 has 48 divisors (see below), whose sum is σ = 6526464. Its totient is φ = 581760.

The previous prime is 2256179. The next prime is 2256181. The reversal of 2256180 is 816522.

It is an interprime number because it is at equal distance from previous prime (2256179) and next prime (2256181).

It is a self number, because there is not a number n which added to its sum of digits gives 2256180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254 + ... + 2466.

It is an arithmetic number, because the mean of its divisors is an integer number (135968).

2^2256180 is an apocalyptic number.

2256180 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 2256180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263232).

2256180 is an abundant number, since it is smaller than the sum of its proper divisors (4270284).

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

2256180 is a wasteful number, since it uses less digits than its factorization.

2256180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2256180 is about 1502.0585874060. The cubic root of 2256180 is about 131.1569317541.

The spelling of 2256180 in words is "two million, two hundred fifty-six thousand, one hundred eighty".