2979968 has 32 divisors (see below), whose sum is σ = 6136320. Its totient is φ = 1440000.

The previous prime is 2979967. The next prime is 2979971. The reversal of 2979968 is 8699792.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁷ + 9 + 7⁷ + 9² + 9⁵ + 6 + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3593 + ... + 4343.

It is an arithmetic number, because the mean of its divisors is an integer number (191760).

2^2979968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068160).

2979968 is an abundant number, since it is smaller than the sum of its proper divisors (3156352).

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

2979968 is an equidigital number, since it uses as much as digits as its factorization.

2979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its digits is 489888, while the sum is 50.

The square root of 2979968 is about 1726.2583815872. The cubic root of 2979968 is about 143.9032271610.

It can be divided in two parts, 29 and 79968, that added together give a palindrome (79997).

The spelling of 2979968 in words is "two million, nine hundred seventy-nine thousand, nine hundred sixty-eight".