2119 has 4 divisors (see below), whose sum is σ = 2296. Its totient is φ = 1944.

The previous prime is 2113. The next prime is 2129. The reversal of 2119 is 9112.

It is a semiprime because it is the product of two primes.

It is a 5-Lehmer number, since φ(2119) divides (2119-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 2119 - 2³ = 2111 is a prime.

It is a super-2 number, since 2×2119² = 8980322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 163 = 2119 / (2 + 1 + 1 + 9).

It is a Duffinian number.

It is a nialpdrome in base 13 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2099 and 2108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69 + ... + 94.

It is an arithmetic number, because the mean of its divisors is an integer number (574).

2119 is a deficient number, since it is larger than the sum of its proper divisors (177).

2119 is a wasteful number, since it uses less digits than its factorization.

2119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its digits is 18, while the sum is 13.

The square root of 2119 is about 46.0325971459. The cubic root of 2119 is about 12.8442963984.

It can be divided in two parts, 2 and 119, that added together give a palindrome (121).

The spelling of 2119 in words is "two thousand, one hundred nineteen".