2206807680 has 768 divisors, whose sum is σ = 9376819200. Its totient is φ = 431185920.

The previous prime is 2206807679. The next prime is 2206807699. The reversal of 2206807680 is 867086022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37403491 + ... + 37403549.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^2206807680 is an apocalyptic number.

2206807680 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 2206807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2206807680 is an abundant number, since it is smaller than the sum of its proper divisors (7170011520).

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

2206807680 is a wasteful number, since it uses less digits than its factorization.

2206807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2206807680 is about 46976.6716573237. The cubic root of 2206807680 is about 1301.9315822199.

The spelling of 2206807680 in words is "two billion, two hundred six million, eight hundred seven thousand, six hundred eighty".