2205332528 has 80 divisors (see below), whose sum is σ = 4950349824. Its totient is φ = 932256000.

The previous prime is 2205332471. The next prime is 2205332557. The reversal of 2205332528 is 8252335022.

It is a junction number, because it is equal to n+sod(n) for n = 2205332494 and 2205332503.

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 15 ways as a sum of consecutive naturals, for example, 2936153 + ... + 2936903.

Almost surely, 2^2205332528 is an apocalyptic number.

2205332528 is a gapful number since it is divisible by the number (28) 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 2205332528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475174912).

2205332528 is an abundant number, since it is smaller than the sum of its proper divisors (2745017296).

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

2205332528 is a wasteful number, since it uses less digits than its factorization.

2205332528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2205332528 is about 46960.9681331209. The cubic root of 2205332528 is about 1301.6414232590.

The spelling of 2205332528 in words is "two billion, two hundred five million, three hundred thirty-two thousand, five hundred twenty-eight".