2006826698880 has 384 divisors, whose sum is σ = 7021059252480. Its totient is φ = 528139616256.

The previous prime is 2006826698867. The next prime is 2006826698893. The reversal of 2006826698880 is 888966286002.

2006826698880 is a `hidden beast` number, since 200 + 6 + 8 + 266 + 98 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2006826698867) and next prime (2006826698893).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205045347 + ... + 205055133.

It is an arithmetic number, because the mean of its divisors is an integer number (18284008470).

Almost surely, 2^{2006826698880} is an apocalyptic number.

2006826698880 is a gapful number since it is divisible by the number (20) 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 2006826698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510529626240).

2006826698880 is an abundant number, since it is smaller than the sum of its proper divisors (5014232553600).

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

2006826698880 is a wasteful number, since it uses less digits than its factorization.

2006826698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 2006826698880 in words is "two trillion, six billion, eight hundred twenty-six million, six hundred ninety-eight thousand, eight hundred eighty".