2005686998280 has 1792 divisors, whose sum is σ = 8315963712000. Its totient is φ = 434550251520.

The previous prime is 2005686998179. The next prime is 2005686998317. The reversal of 2005686998280 is 828996865002.

2005686998280 is a `hidden beast` number, since 2 + 0 + 0 + 568 + 69 + 9 + 8 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 447 ways as a sum of consecutive naturals, for example, 27475164324 + ... + 27475164396.

It is an arithmetic number, because the mean of its divisors is an integer number (4640604750).

Almost surely, 2^{2005686998280} is an apocalyptic number.

2005686998280 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 2005686998280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157981856000).

2005686998280 is an abundant number, since it is smaller than the sum of its proper divisors (6310276713720).

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

2005686998280 is an equidigital number, since it uses as much as digits as its factorization.

2005686998280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 2005686998280 in words is "two trillion, five billion, six hundred eighty-six million, nine hundred ninety-eight thousand, two hundred eighty".