2958 has 16 divisors (see below), whose sum is σ = 6480. Its totient is φ = 896.

The previous prime is 2957. The next prime is 2963. The reversal of 2958 is 8592.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 11, base 13 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

2²⁹⁵⁸ is an apocalyptic number.

2958 is an abundant number, since it is smaller than the sum of its proper divisors (3522).

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 (3240).

2958 is a wasteful number, since it uses less digits than its factorization.

2958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51.

The product of its digits is 720, while the sum is 24.

The square root of 2958 is about 54.3874985635. The cubic root of 2958 is about 14.3548741673.

It can be divided in two parts, 295 and 8, that added together give a palindrome (303).

The spelling of 2958 in words is "two thousand, nine hundred fifty-eight".