2004990416712 has 192 divisors, whose sum is σ = 5604947712000. Its totient is φ = 647267991552.

The previous prime is 2004990416707. The next prime is 2004990416719. The reversal of 2004990416712 is 2176140994002.

It is a super-2 number, since 2×2004990416712² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004990416719) 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 47 ways as a sum of consecutive naturals, for example, 62330089 + ... + 62362247.

It is an arithmetic number, because the mean of its divisors is an integer number (29192436000).

Almost surely, 2^{2004990416712} 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 2004990416712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802473856000).

2004990416712 is an abundant number, since it is smaller than the sum of its proper divisors (3599957295288).

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

2004990416712 is a wasteful number, since it uses less digits than its factorization.

2004990416712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32460 (or 32453 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2004990416712 in words is "two trillion, four billion, nine hundred ninety million, four hundred sixteen thousand, seven hundred twelve".