2413440224 has 192 divisors, whose sum is σ = 5678781696. Its totient is φ = 999358464.

The previous prime is 2413440187. The next prime is 2413440229. The reversal of 2413440224 is 4220443142.

It is a happy number.

2413440224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2413440193 and 2413440202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413440229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17616284 + ... + 17616420.

It is an arithmetic number, because the mean of its divisors is an integer number (29576988).

Almost surely, 2^2413440224 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 2413440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839390848).

2413440224 is an abundant number, since it is smaller than the sum of its proper divisors (3265341472).

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

2413440224 is a wasteful number, since it uses less digits than its factorization.

2413440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2413440224 is about 49126.7770569167. Note that the first 3 decimals coincide. The cubic root of 2413440224 is about 1341.3605072663.

Adding to 2413440224 its reverse (4220443142), we get a palindrome (6633883366).

The spelling of 2413440224 in words is "two billion, four hundred thirteen million, four hundred forty thousand, two hundred twenty-four".