2006317768 has 128 divisors (see below), whose sum is σ = 5031936000. Its totient is φ = 727522560.

The previous prime is 2006317757. The next prime is 2006317771. The reversal of 2006317768 is 8677136002.

It is a self number, because there is not a number n which added to its sum of digits gives 2006317768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426453 + ... + 431131.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^2006317768 is an apocalyptic number.

2006317768 is a gapful number since it is divisible by the number (28) 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 2006317768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515968000).

2006317768 is an abundant number, since it is smaller than the sum of its proper divisors (3025618232).

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

2006317768 is a wasteful number, since it uses less digits than its factorization.

2006317768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2006317768 is about 44791.9386497169. The cubic root of 2006317768 is about 1261.2463035806.

The spelling of 2006317768 in words is "two billion, six million, three hundred seventeen thousand, seven hundred sixty-eight".