2109984 has 48 divisors (see below), whose sum is σ = 5725440. Its totient is φ = 679680.

The previous prime is 2109979. The next prime is 2110001. The reversal of 2109984 is 4899012.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2622 + ... + 3330.

It is an arithmetic number, because the mean of its divisors is an integer number (119280).

2^2109984 is an apocalyptic number.

2109984 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 2109984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862720).

2109984 is an abundant number, since it is smaller than the sum of its proper divisors (3615456).

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

2109984 is a wasteful number, since it uses less digits than its factorization.

2109984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2109984 is about 1452.5783971958. The cubic root of 2109984 is about 128.2605370396.

The spelling of 2109984 in words is "two million, one hundred nine thousand, nine hundred eighty-four".