2441226610368 has 2520 divisors, whose sum is σ = 9963823882320. Its totient is φ = 586925015040.

The previous prime is 2441226610357. The next prime is 2441226610421. The reversal of 2441226610368 is 8630166221442.

2441226610368 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 2 + 26 + 610 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 33441460380 + ... + 33441460452.

It is an arithmetic number, because the mean of its divisors is an integer number (3953898366).

Almost surely, 2^{2441226610368} is an apocalyptic number.

2441226610368 is a gapful number since it is divisible by the number (28) 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 2441226610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981911941160).

2441226610368 is an abundant number, since it is smaller than the sum of its proper divisors (7522597271952).

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

2441226610368 is a wasteful number, since it uses less digits than its factorization.

2441226610368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2441226610368 in words is "two trillion, four hundred forty-one billion, two hundred twenty-six million, six hundred ten thousand, three hundred sixty-eight".