2958144 has 112 divisors (see below), whose sum is σ = 9363456. Its totient is φ = 806400.

The previous prime is 2958139. The next prime is 2958149. The reversal of 2958144 is 4418592.

2958144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2958139) and next prime (2958149).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41629 + ... + 41699.

2^2958144 is an apocalyptic number.

2958144 is a gapful number since it is divisible by the number (24) 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 2958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681728).

2958144 is an abundant number, since it is smaller than the sum of its proper divisors (6405312).

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

2958144 is a wasteful number, since it uses less digits than its factorization.

2958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2958144 is about 1719.9255797854. The cubic root of 2958144 is about 143.5510710262.

The spelling of 2958144 in words is "two million, nine hundred fifty-eight thousand, one hundred forty-four".