2006869718784 has 576 divisors, whose sum is σ = 6538686013440. Its totient is φ = 534097428480.

The previous prime is 2006869718783. The next prime is 2006869718809. The reversal of 2006869718784 is 4878179686002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006869718783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2981975472 + ... + 2981976144.

It is an arithmetic number, because the mean of its divisors is an integer number (11351885440).

Almost surely, 2^{2006869718784} is an apocalyptic number.

2006869718784 is a gapful number since it is divisible by the number (24) 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 2006869718784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269343006720).

2006869718784 is an abundant number, since it is smaller than the sum of its proper divisors (4531816294656).

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

2006869718784 is a wasteful number, since it uses less digits than its factorization.

2006869718784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 2006869718784 in words is "two trillion, six billion, eight hundred sixty-nine million, seven hundred eighteen thousand, seven hundred eighty-four".