2180 has 12 divisors (see below), whose sum is σ = 4620. Its totient is φ = 864.

The previous prime is 2179. The next prime is 2203. The reversal of 2180 is 812.

2180 = T₉ + T₁₀ + ... + T₂₃.

2180 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 1024 = 34^2 + 32^2 .

It is a nialpdrome in base 5, base 13 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 74.

It is an arithmetic number, because the mean of its divisors is an integer number (385).

2²¹⁸⁰ is an apocalyptic number.

2180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2180 is an abundant number, since it is smaller than the sum of its proper divisors (2440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310).

2180 is a wasteful number, since it uses less digits than its factorization.

2180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2180 is about 46.6904701197. The cubic root of 2180 is about 12.9663825697.

Adding to 2180 its reverse (812), we get a palindrome (2992).

It can be divided in two parts, 21 and 80, that added together give a palindrome (101).

The spelling of 2180 in words is "two thousand, one hundred eighty".