2002443120000 has 400 divisors, whose sum is σ = 7446688250100. Its totient is φ = 533983104000.

The previous prime is 2002443119987. The next prime is 2002443120017. The reversal of 2002443120000 is 213442002.

2002443120000 is a `hidden beast` number, since 20 + 0 + 2 + 443 + 1 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6325491 + ... + 6634509.

Almost surely, 2^{2002443120000} is an apocalyptic number.

2002443120000 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 2002443120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723344125050).

2002443120000 is an abundant number, since it is smaller than the sum of its proper divisors (5444245130100).

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

2002443120000 is an frugal number, since it uses more digits than its factorization.

2002443120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309065 (or 309029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2002443120000 its reverse (213442002), we get a palindrome (2002656562002).

The spelling of 2002443120000 in words is "two trillion, two billion, four hundred forty-three million, one hundred twenty thousand".