2013824 has 16 divisors (see below), whose sum is σ = 4012170. Its totient is φ = 1006848.

The previous prime is 2013821. The next prime is 2013833. The reversal of 2013824 is 4283102.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 53824 = 1400^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 2013796 and 2013805.

It is not an unprimeable number, because it can be changed into a prime (2013821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7739 + ... + 7994.

2^2013824 is an apocalyptic number.

It is an amenable number.

2013824 is a deficient number, since it is larger than the sum of its proper divisors (1998346).

2013824 is an equidigital number, since it uses as much as digits as its factorization.

2013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15747 (or 15735 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2013824 is about 1419.0926678692. The cubic root of 2013824 is about 126.2817245374.

Adding to 2013824 its reverse (4283102), we get a palindrome (6296926).

The spelling of 2013824 in words is "two million, thirteen thousand, eight hundred twenty-four".