2205813456 has 120 divisors (see below), whose sum is σ = 7696513344. Its totient is φ = 572935680.

The previous prime is 2205813403. The next prime is 2205813487. The reversal of 2205813456 is 6543185022.

2205813456 is a `hidden beast` number, since 2 + 20 + 581 + 3 + 4 + 56 = 666.

It is a super-3 number, since 3×2205813456³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 2205813456.

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 23 ways as a sum of consecutive naturals, for example, 88381 + ... + 110556.

Almost surely, 2^2205813456 is an apocalyptic number.

It is an amenable number.

2205813456 is an abundant number, since it is smaller than the sum of its proper divisors (5490699888).

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

2205813456 is a wasteful number, since it uses less digits than its factorization.

2205813456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198969 (or 198960 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2205813456 is about 46966.0883617105. The cubic root of 2205813456 is about 1301.7360348878.

Adding to 2205813456 its reverse (6543185022), we get a palindrome (8748998478).

The spelling of 2205813456 in words is "two billion, two hundred five million, eight hundred thirteen thousand, four hundred fifty-six".