2109824 has 32 divisors (see below), whose sum is σ = 4296240. Its totient is φ = 1031680.

The previous prime is 2109799. The next prime is 2109841. The reversal of 2109824 is 4289012.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2109793 and 2109802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6629 + ... + 6939.

2^2109824 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 2109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148120).

2109824 is an abundant number, since it is smaller than the sum of its proper divisors (2186416).

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

2109824 is an equidigital number, since it uses as much as digits as its factorization.

2109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2109824 is about 1452.5233216716. The cubic root of 2109824 is about 128.2572949605.

The spelling of 2109824 in words is "two million, one hundred nine thousand, eight hundred twenty-four".