2205112320 has 288 divisors, whose sum is σ = 7773161760. Its totient is φ = 578027520.

The previous prime is 2205112289. The next prime is 2205112331. The reversal of 2205112320 is 232115022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2205112293 and 2205112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6543192 + ... + 6543528.

It is an arithmetic number, because the mean of its divisors is an integer number (26990145).

Almost surely, 2^2205112320 is an apocalyptic number.

2205112320 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 2205112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886580880).

2205112320 is an abundant number, since it is smaller than the sum of its proper divisors (5568049440).

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

2205112320 is a wasteful number, since it uses less digits than its factorization.

2205112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2205112320 is about 46958.6234891953. The cubic root of 2205112320 is about 1301.5980977602.

Adding to 2205112320 its reverse (232115022), we get a palindrome (2437227342).

The spelling of 2205112320 in words is "two billion, two hundred five million, one hundred twelve thousand, three hundred twenty".