2205432576 has 216 divisors, whose sum is σ = 6956263440. Its totient is φ = 686850048.

The previous prime is 2205432563. The next prime is 2205432577. The reversal of 2205432576 is 6752345022.

2205432576 is a `hidden beast` number, since 2 + 2 + 0 + 54 + 32 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2205432576.

It is not an unprimeable number, because it can be changed into a prime (2205432577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16097980 + ... + 16098116.

Almost surely, 2^2205432576 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 2205432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478131720).

2205432576 is an abundant number, since it is smaller than the sum of its proper divisors (4750830864).

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

2205432576 is an equidigital number, since it uses as much as digits as its factorization.

2205432576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2205432576 is about 46962.0333460978. The cubic root of 2205432576 is about 1301.6611065570.

Adding to 2205432576 its reverse (6752345022), we get a palindrome (8957777598).

The spelling of 2205432576 in words is "two billion, two hundred five million, four hundred thirty-two thousand, five hundred seventy-six".