2005884 has 60 divisors (see below), whose sum is σ = 5407248. Its totient is φ = 648000.

The previous prime is 2005879. The next prime is 2005903. The reversal of 2005884 is 4885002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13209 + ... + 13359.

2^2005884 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 2005884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703624).

2005884 is an abundant number, since it is smaller than the sum of its proper divisors (3401364).

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

2005884 is a wasteful number, since it uses less digits than its factorization.

2005884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2005884 is about 1416.2923427033. The cubic root of 2005884 is about 126.1155402773.

It can be divided in two parts, 200 and 5884, that added together give a square (6084 = 78²).

The spelling of 2005884 in words is "two million, five thousand, eight hundred eighty-four".