2993984 has 56 divisors (see below), whose sum is σ = 6998208. Its totient is φ = 1244160.

The previous prime is 2993983. The next prime is 2993993. The reversal of 2993984 is 4893992.

2993984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18287 + ... + 18449.

It is an arithmetic number, because the mean of its divisors is an integer number (124968).

2^2993984 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 2993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499104).

2993984 is an abundant number, since it is smaller than the sum of its proper divisors (4004224).

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

2993984 is a wasteful number, since it uses less digits than its factorization.

2993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 2993984 is about 1730.3132664347. The cubic root of 2993984 is about 144.1284861453.

The spelling of 2993984 in words is "two million, nine hundred ninety-three thousand, nine hundred eighty-four".