2013984 has 144 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 559872.

The previous prime is 2013983. The next prime is 2013989. The reversal of 2013984 is 4893102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2013984² = 8112263104512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2013983) 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 23 ways as a sum of consecutive naturals, for example, 54414 + ... + 54450.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2^2013984 is an apocalyptic number.

2013984 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 2013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2013984 is an abundant number, since it is smaller than the sum of its proper divisors (4957344).

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

2013984 is an equidigital number, since it uses as much as digits as its factorization.

2013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2013984 is about 1419.1490407987. The cubic root of 2013984 is about 126.2850688450.

The spelling of 2013984 in words is "two million, thirteen thousand, nine hundred eighty-four".