2005184 has 56 divisors (see below), whose sum is σ = 4480560. Its totient is φ = 884736.

The previous prime is 2005183. The next prime is 2005189. The reversal of 2005184 is 4815002.

It is not an unprimeable number, because it can be changed into a prime (2005181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20624 + ... + 20720.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

2^2005184 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 2005184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240280).

2005184 is an abundant number, since it is smaller than the sum of its proper divisors (2475376).

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

2005184 is a wasteful number, since it uses less digits than its factorization.

2005184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2005184 is about 1416.0451970188. The cubic root of 2005184 is about 126.1008682508.

The spelling of 2005184 in words is "two million, five thousand, one hundred eighty-four".