2444801340768 has 96 divisors (see below), whose sum is σ = 6464547677952. Its totient is φ = 808988659200.

The previous prime is 2444801340677. The next prime is 2444801340847. The reversal of 2444801340768 is 8670431084442.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2444801340768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9657733 + ... + 9907643.

It is an arithmetic number, because the mean of its divisors is an integer number (67339038312).

Almost surely, 2^{2444801340768} 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 2444801340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232273838976).

2444801340768 is an abundant number, since it is smaller than the sum of its proper divisors (4019746337184).

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

2444801340768 is a wasteful number, since it uses less digits than its factorization.

2444801340768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250668 (or 250660 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 2444801340768 in words is "two trillion, four hundred forty-four billion, eight hundred one million, three hundred forty thousand, seven hundred sixty-eight".