2006843507424 has 1152 divisors, whose sum is σ = 7452756864000. Its totient is φ = 512604868608.

The previous prime is 2006843507393. The next prime is 2006843507527. The reversal of 2006843507424 is 4247053486002.

It is a happy number.

2006843507424 is a `hidden beast` number, since 2 + 0 + 0 + 68 + 43 + 507 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2006843507424.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 11600251402 + ... + 11600251574.

It is an arithmetic number, because the mean of its divisors is an integer number (6469407000).

Almost surely, 2^{2006843507424} is an apocalyptic number.

2006843507424 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 2006843507424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726378432000).

2006843507424 is an abundant number, since it is smaller than the sum of its proper divisors (5445913356576).

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

2006843507424 is a wasteful number, since it uses less digits than its factorization.

2006843507424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2006843507424 in words is "two trillion, six billion, eight hundred forty-three million, five hundred seven thousand, four hundred twenty-four".