2006338427256 has 64 divisors (see below), whose sum is σ = 5138154806400. Its totient is φ = 652505954688.

The previous prime is 2006338427183. The next prime is 2006338427311. The reversal of 2006338427256 is 6527248336002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135711 + ... + 2007758.

It is an arithmetic number, because the mean of its divisors is an integer number (80283668850).

Almost surely, 2^{2006338427256} 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 2006338427256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569077403200).

2006338427256 is an abundant number, since it is smaller than the sum of its proper divisors (3131816379144).

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

2006338427256 is a wasteful number, since it uses less digits than its factorization.

2006338427256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144428 (or 2144424 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 2006338427256 in words is "two trillion, six billion, three hundred thirty-eight million, four hundred twenty-seven thousand, two hundred fifty-six".