2979984 has 80 divisors (see below), whose sum is σ = 9027200. Its totient is φ = 846720.

The previous prime is 2979971. The next prime is 2979989. The reversal of 2979984 is 4899792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2979989) 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, 16374 + ... + 16554.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

2^2979984 is an apocalyptic number.

2979984 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 2979984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513600).

2979984 is an abundant number, since it is smaller than the sum of its proper divisors (6047216).

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

2979984 is a wasteful number, since it uses less digits than its factorization.

2979984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 2979984 is about 1726.2630158814. The cubic root of 2979984 is about 143.9034847083.

The spelling of 2979984 in words is "two million, nine hundred seventy-nine thousand, nine hundred eighty-four".