2679984 has 60 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 867456.

The previous prime is 2679979. The next prime is 2680003. The reversal of 2679984 is 4899762.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5077 + ... + 5579.

2^2679984 is an apocalyptic number.

2679984 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 2679984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2679984 is an abundant number, since it is smaller than the sum of its proper divisors (5038272).

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

2679984 is a wasteful number, since it uses less digits than its factorization.

2679984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 545 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2679984 is about 1637.0656675894. The cubic root of 2679984 is about 138.9027147362.

It can be divided in two parts, 2679 and 984, that added together give a palindrome (3663).

The spelling of 2679984 in words is "two million, six hundred seventy-nine thousand, nine hundred eighty-four".