2105824 has 72 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 838656.

The previous prime is 2105819. The next prime is 2105833. The reversal of 2105824 is 4285012.

It is a junction number, because it is equal to n+sod(n) for n = 2105795 and 2105804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26617 + ... + 26695.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2105824 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 2105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2105824 is an abundant number, since it is smaller than the sum of its proper divisors (3065216).

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

2105824 is a wasteful number, since it uses less digits than its factorization.

2105824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2105824 is about 1451.1457542232. The cubic root of 2105824 is about 128.1761896585.

The spelling of 2105824 in words is "two million, one hundred five thousand, eight hundred twenty-four".