2208005455680 has 224 divisors, whose sum is σ = 7818317510400. Its totient is φ = 586611984384.

The previous prime is 2208005455661. The next prime is 2208005455709. The reversal of 2208005455680 is 865545008022.

It is a happy number.

2208005455680 is a `hidden beast` number, since 2 + 2 + 0 + 80 + 0 + 5 + 4 + 5 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849149 + ... + 2799171.

Almost surely, 2^{2208005455680} is an apocalyptic number.

2208005455680 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 2208005455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909158755200).

2208005455680 is an abundant number, since it is smaller than the sum of its proper divisors (5610312054720).

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

2208005455680 is a wasteful number, since it uses less digits than its factorization.

2208005455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950318 (or 950302 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 2208005455680 in words is "two trillion, two hundred eight billion, five million, four hundred fifty-five thousand, six hundred eighty".