2444002400000 has 324 divisors, whose sum is σ = 7093335825576. Its totient is φ = 837930240000.

The previous prime is 2444002399967. The next prime is 2444002400011. The reversal of 2444002400000 is 42004442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39168827 + ... + 39231173.

Almost surely, 2^{2444002400000} is an apocalyptic number.

2444002400000 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 2444002400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546667912788).

2444002400000 is an abundant number, since it is smaller than the sum of its proper divisors (4649333425576).

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

2444002400000 is an frugal number, since it uses more digits than its factorization.

2444002400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62402 (or 62361 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2444002400000 its reverse (42004442), we get a palindrome (2444044404442).

The spelling of 2444002400000 in words is "two trillion, four hundred forty-four billion, two million, four hundred thousand".