2042213104000 has 192 divisors, whose sum is σ = 5198353973280. Its totient is φ = 797876352000.

The previous prime is 2042213103977. The next prime is 2042213104003. The reversal of 2042213104000 is 4013122402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042213104003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29549485 + ... + 29618515.

Almost surely, 2^{2042213104000} is an apocalyptic number.

2042213104000 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 2042213104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599176986640).

2042213104000 is an abundant number, since it is smaller than the sum of its proper divisors (3156140869280).

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

2042213104000 is an frugal number, since it uses more digits than its factorization.

2042213104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69146 (or 69081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2042213104000 its reverse (4013122402), we get a palindrome (2046226226402).

The spelling of 2042213104000 in words is "two trillion, forty-two billion, two hundred thirteen million, one hundred four thousand".