2011984 has 40 divisors (see below), whose sum is σ = 4452840. Its totient is φ = 872448.

The previous prime is 2011973. The next prime is 2011987. The reversal of 2011984 is 4891102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 1960000 = 228^2 + 1400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011987) 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, 3252 + ... + 3820.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

2^2011984 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 2011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226420).

2011984 is an abundant number, since it is smaller than the sum of its proper divisors (2440856).

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

2011984 is a wasteful number, since it uses less digits than its factorization.

2011984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 2011984 is about 1418.4442181489. Note that the first 3 decimals coincide. The cubic root of 2011984 is about 126.2432522616.

The spelling of 2011984 in words is "two million, eleven thousand, nine hundred eighty-four".