2444313322240 has 144 divisors (see below), whose sum is σ = 5989814127360. Its totient is φ = 955393372160.

The previous prime is 2444313322189. The next prime is 2444313322247. The reversal of 2444313322240 is 422233134442.

It is a junction number, because it is equal to n+sod(n) for n = 2444313322196 and 2444313322205.

It is not an unprimeable number, because it can be changed into a prime (2444313322247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12514935 + ... + 12708745.

It is an arithmetic number, because the mean of its divisors is an integer number (41595931440).

Almost surely, 2^{2444313322240} is an apocalyptic number.

2444313322240 is a gapful number since it is divisible by the number (20) 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 2444313322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994907063680).

2444313322240 is an abundant number, since it is smaller than the sum of its proper divisors (3545500805120).

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

2444313322240 is a wasteful number, since it uses less digits than its factorization.

2444313322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194058 (or 194044 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2444313322240 its reverse (422233134442), we get a palindrome (2866546456682).

The spelling of 2444313322240 in words is "two trillion, four hundred forty-four billion, three hundred thirteen million, three hundred twenty-two thousand, two hundred forty".