2205885312 has 160 divisors (see below), whose sum is σ = 6612843600. Its totient is φ = 729907200.

The previous prime is 2205885229. The next prime is 2205885343. The reversal of 2205885312 is 2135885022.

2205885312 is a `hidden beast` number, since 2 + 20 + 588 + 53 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1564864 + ... + 1566272.

Almost surely, 2^2205885312 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 2205885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306421800).

2205885312 is an abundant number, since it is smaller than the sum of its proper divisors (4406958288).

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

2205885312 is a wasteful number, since it uses less digits than its factorization.

2205885312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2205885312 is about 46966.8533329624. The cubic root of 2205885312 is about 1301.7501697381.

The spelling of 2205885312 in words is "two billion, two hundred five million, eight hundred eighty-five thousand, three hundred twelve".