2005824 has 56 divisors (see below), whose sum is σ = 5494528. Its totient is φ = 645120.

The previous prime is 2005799. The next prime is 2005831. The reversal of 2005824 is 4285002.

It is a self number, because there is not a number n which added to its sum of digits gives 2005824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5784 + ... + 6120.

2^2005824 is an apocalyptic number.

2005824 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 2005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747264).

2005824 is an abundant number, since it is smaller than the sum of its proper divisors (3488704).

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

2005824 is a wasteful number, since it uses less digits than its factorization.

2005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2005824 is about 1416.2711604774. The cubic root of 2005824 is about 126.1142828088.

The spelling of 2005824 in words is "two million, five thousand, eight hundred twenty-four".