2006751884808 has 128 divisors (see below), whose sum is σ = 5652522455040. Its totient is φ = 588176160000.

The previous prime is 2006751884783. The next prime is 2006751884833. The reversal of 2006751884808 is 8084881576002.

It is an interprime number because it is at equal distance from previous prime (2006751884783) and next prime (2006751884833).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15493291 + ... + 15622277.

It is an arithmetic number, because the mean of its divisors is an integer number (44160331680).

Almost surely, 2^{2006751884808} 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 2006751884808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826261227520).

2006751884808 is an abundant number, since it is smaller than the sum of its proper divisors (3645770570232).

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

2006751884808 is a wasteful number, since it uses less digits than its factorization.

2006751884808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130939 (or 130935 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 2006751884808 in words is "two trillion, six billion, seven hundred fifty-one million, eight hundred eighty-four thousand, eight hundred eight".