2013433224 has 96 divisors (see below), whose sum is σ = 5554973760. Its totient is φ = 607685760.

The previous prime is 2013433193. The next prime is 2013433259. The reversal of 2013433224 is 4223343102.

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 = 2013433194 and 2013433203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803157 + ... + 805659.

It is an arithmetic number, because the mean of its divisors is an integer number (57864310).

Almost surely, 2^2013433224 is an apocalyptic number.

2013433224 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 2013433224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777486880).

2013433224 is an abundant number, since it is smaller than the sum of its proper divisors (3541540536).

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

2013433224 is a wasteful number, since it uses less digits than its factorization.

2013433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2013433224 is about 44871.2962148410. The cubic root of 2013433224 is about 1262.7355582294.

Adding to 2013433224 its reverse (4223343102), we get a palindrome (6236776326).

The spelling of 2013433224 in words is "two billion, thirteen million, four hundred thirty-three thousand, two hundred twenty-four".