2444242400000 has 216 divisors, whose sum is σ = 6105356607168. Its totient is φ = 976563200000.

The previous prime is 2444242399993. The next prime is 2444242400003. The reversal of 2444242400000 is 42424442.

It is not an unprimeable number, because it can be changed into a prime (2444242400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184798969 + ... + 1184801031.

It is an arithmetic number, because the mean of its divisors is an integer number (28265539848).

Almost surely, 2^{2444242400000} is an apocalyptic number.

2444242400000 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 2444242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052678303584).

2444242400000 is an abundant number, since it is smaller than the sum of its proper divisors (3661114207168).

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

2444242400000 is an frugal number, since it uses more digits than its factorization.

2444242400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2444242400000 its reverse (42424442), we get a palindrome (2444284824442).

The spelling of 2444242400000 in words is "two trillion, four hundred forty-four billion, two hundred forty-two million, four hundred thousand".