2879968 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 1064448.

The previous prime is 2879927. The next prime is 2879971. The reversal of 2879968 is 8699782.

It is a happy number.

Its product of digits (435456) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66955 + ... + 66997.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

2^2879968 is an apocalyptic number.

2879968 is a gapful number since it is divisible by the number (28) 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 2879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2879968 is an abundant number, since it is smaller than the sum of its proper divisors (4571168).

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

2879968 is a wasteful number, since it uses less digits than its factorization.

2879968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its digits is 435456, while the sum is 49.

The square root of 2879968 is about 1697.0468467311. The cubic root of 2879968 is about 142.2752052305.

It can be divided in two parts, 2879 and 968, that multiplied together give a palindrome (2786872).

The spelling of 2879968 in words is "two million, eight hundred seventy-nine thousand, nine hundred sixty-eight".