2205523320 has 768 divisors, whose sum is σ = 9404398080. Its totient is φ = 406425600.

The previous prime is 2205523319. The next prime is 2205523367. The reversal of 2205523320 is 233255022.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 36156090 + ... + 36156150.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2^2205523320 is an apocalyptic number.

2205523320 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 2205523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702199040).

2205523320 is an abundant number, since it is smaller than the sum of its proper divisors (7198874760).

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

2205523320 is a wasteful number, since it uses less digits than its factorization.

2205523320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2205523320 is about 46962.9994783127. Note that the first 3 decimals coincide. The cubic root of 2205523320 is about 1301.6789588848.

Adding to 2205523320 its reverse (233255022), we get a palindrome (2438778342).

It can be divided in two parts, 2205 and 523320, that added together give a palindrome (525525).

The spelling of 2205523320 in words is "two billion, two hundred five million, five hundred twenty-three thousand, three hundred twenty".