2413222240224 has 96 divisors (see below), whose sum is σ = 6349353163776. Its totient is φ = 802549555200.

The previous prime is 2413222240223. The next prime is 2413222240243. The reversal of 2413222240224 is 4220422223142.

It is a happy number.

2413222240224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2413222240191 and 2413222240200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413222240223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93280539 + ... + 93306405.

It is an arithmetic number, because the mean of its divisors is an integer number (66139095456).

Almost surely, 2^{2413222240224} is an apocalyptic number.

2413222240224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2413222240224 is an abundant number, since it is smaller than the sum of its proper divisors (3936130923552).

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

2413222240224 is a wasteful number, since it uses less digits than its factorization.

2413222240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28088 (or 28080 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2413222240224 its reverse (4220422223142), we get a palindrome (6633644463366).

The spelling of 2413222240224 in words is "two trillion, four hundred thirteen billion, two hundred twenty-two million, two hundred forty thousand, two hundred twenty-four".