2120 has 16 divisors (see below), whose sum is σ = 4860. Its totient is φ = 832.

The previous prime is 2113. The next prime is 2129. The reversal of 2120 is 212.

2120 is nontrivially palindromic in base 7 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 4 = 46^2 + 2^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

2120 is an undulating number in base 16.

It is a plaindrome in base 12.

It is a nialpdrome in base 8, base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (2129) by changing a digit.

2120 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 14 + ... + 66.

2²¹²⁰ is an apocalyptic number.

2120 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 2120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430).

2120 is an abundant number, since it is smaller than the sum of its proper divisors (2740).

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

2120 is a wasteful number, since it uses less digits than its factorization.

2120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2120 is about 46.0434577329. The cubic root of 2120 is about 12.8463165771.

Adding to 2120 its reverse (212), we get a palindrome (2332).

The spelling of 2120 in words is "two thousand, one hundred twenty", and thus it is an iban number.