2206086960 has 640 divisors, whose sum is σ = 9210839040. Its totient is φ = 423014400.

The previous prime is 2206086919. The next prime is 2206086973. The reversal of 2206086960 is 696806022.

2206086960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 46969²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21418269 + ... + 21418371.

It is an arithmetic number, because the mean of its divisors is an integer number (14391936).

Almost surely, 2^2206086960 is an apocalyptic number.

2206086960 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 2206086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605419520).

2206086960 is an abundant number, since it is smaller than the sum of its proper divisors (7004752080).

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

2206086960 is a wasteful number, since it uses less digits than its factorization.

2206086960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2206086960 is about 46968.9999893547. Note that the first 4 decimals coincide. The cubic root of 2206086960 is about 1301.7898344355.

The spelling of 2206086960 in words is "two billion, two hundred six million, eighty-six thousand, nine hundred sixty".