2979144 has 96 divisors (see below), whose sum is σ = 9659520. Its totient is φ = 811008.

The previous prime is 2979139. The next prime is 2979149. The reversal of 2979144 is 4419792.

2979144 is digitally balanced in base 2, 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 (2979139) and next prime (2979149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2979099 and 2979108.

It is not an unprimeable number, because it can be changed into a prime (2979149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11464 + ... + 11720.

It is an arithmetic number, because the mean of its divisors is an integer number (100620).

2^2979144 is an apocalyptic number.

2979144 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 2979144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829760).

2979144 is an abundant number, since it is smaller than the sum of its proper divisors (6680376).

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

2979144 is a wasteful number, since it uses less digits than its factorization.

2979144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2979144 is about 1726.0196986130. The cubic root of 2979144 is about 143.8899622322.

The spelling of 2979144 in words is "two million, nine hundred seventy-nine thousand, one hundred forty-four".