2205352240 has 160 divisors (see below), whose sum is σ = 6585578496. Its totient is φ = 667560960.

The previous prime is 2205352231. The next prime is 2205352243. The reversal of 2205352240 is 422535022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2205352243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160855 + ... + 174025.

Almost surely, 2^2205352240 is an apocalyptic number.

2205352240 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 2205352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292789248).

2205352240 is an abundant number, since it is smaller than the sum of its proper divisors (4380226256).

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

2205352240 is a wasteful number, since it uses less digits than its factorization.

2205352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2205352240 is about 46961.1780090747. The cubic root of 2205352240 is about 1301.6453014163.

Adding to 2205352240 its reverse (422535022), we get a palindrome (2627887262).

The spelling of 2205352240 in words is "two billion, two hundred five million, three hundred fifty-two thousand, two hundred forty".