2973984 has 48 divisors (see below), whose sum is σ = 8410752. Its totient is φ = 914688.

The previous prime is 2973961. The next prime is 2974001. The reversal of 2973984 is 4893792.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (175224).

2^2973984 is an apocalyptic number.

2973984 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 2973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205376).

2973984 is an abundant number, since it is smaller than the sum of its proper divisors (5436768).

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

2973984 is a wasteful number, since it uses less digits than its factorization.

2973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2401 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 2973984 is about 1724.5242822297. The cubic root of 2973984 is about 143.8068397780.

The spelling of 2973984 in words is "two million, nine hundred seventy-three thousand, nine hundred eighty-four".