2206303632 has 180 divisors, whose sum is σ = 6807535644. Its totient is φ = 662929920.

The previous prime is 2206303621. The next prime is 2206303637. The reversal of 2206303632 is 2363036022.

2206303632 is a `hidden beast` number, since 2 + 20 + 6 + 3 + 0 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 2028241296 = 13344^2 + 45036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2206303596 and 2206303605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206303637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15872619 + ... + 15872757.

Almost surely, 2^2206303632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206303632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403767822).

2206303632 is an abundant number, since it is smaller than the sum of its proper divisors (4601232012).

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

2206303632 is a wasteful number, since it uses less digits than its factorization.

2206303632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2206303632 is about 46971.3064753366. The cubic root of 2206303632 is about 1301.8324516998.

Adding to 2206303632 its reverse (2363036022), we get a palindrome (4569339654).

The spelling of 2206303632 in words is "two billion, two hundred six million, three hundred three thousand, six hundred thirty-two".