2253180 has 72 divisors (see below), whose sum is σ = 6825168. Its totient is φ = 553472.

The previous prime is 2253179. The next prime is 2253187. The reversal of 2253180 is 813522.

2253180 = T₅₁ + T₅₂ + ... + T₂₃₈.

It is a super-2 number, since 2×2253180² = 10153640224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47917 + ... + 47963.

It is an arithmetic number, because the mean of its divisors is an integer number (94794).

2^2253180 is an apocalyptic number.

2253180 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 2253180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412584).

2253180 is an abundant number, since it is smaller than the sum of its proper divisors (4571988).

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

2253180 is a wasteful number, since it uses less digits than its factorization.

2253180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2253180 is about 1501.0596257311. The cubic root of 2253180 is about 131.0987736697.

The spelling of 2253180 in words is "two million, two hundred fifty-three thousand, one hundred eighty".