2305824 has 24 divisors (see below), whose sum is σ = 6053040. Its totient is φ = 768576.

The previous prime is 2305781. The next prime is 2305837. The reversal of 2305824 is 4285032.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2305794 and 2305803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11914 + ... + 12105.

It is an arithmetic number, because the mean of its divisors is an integer number (252210).

2^2305824 is an apocalyptic number.

2305824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2305824 is an abundant number, since it is smaller than the sum of its proper divisors (3747216).

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

2305824 is a wasteful number, since it uses less digits than its factorization.

2305824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24032 (or 24024 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2305824 is about 1518.4939907685. The cubic root of 2305824 is about 132.1119344388. Note that the first 3 decimals are identical.

The spelling of 2305824 in words is "two million, three hundred five thousand, eight hundred twenty-four".