2413324224 has 84 divisors (see below), whose sum is σ = 6982184664. Its totient is φ = 796902912.

The previous prime is 2413324211. The next prime is 2413324253. The reversal of 2413324224 is 4224233142.

2413324224 is a `hidden beast` number, since 2 + 413 + 3 + 24 + 224 = 666.

2413324224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 42054 + ... + 81210.

It is an arithmetic number, because the mean of its divisors is an integer number (83121246).

Almost surely, 2^2413324224 is an apocalyptic number.

2413324224 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 2413324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491092332).

2413324224 is an abundant number, since it is smaller than the sum of its proper divisors (4568860440).

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

2413324224 is a wasteful number, since it uses less digits than its factorization.

2413324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39282 (or 39269 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2413324224 is about 49125.5964238603. The cubic root of 2413324224 is about 1341.3390164624.

Adding to 2413324224 its reverse (4224233142), we get a palindrome (6637557366).

The spelling of 2413324224 in words is "two billion, four hundred thirteen million, three hundred twenty-four thousand, two hundred twenty-four".