2205747936 has 288 divisors, whose sum is σ = 7595078400. Its totient is φ = 629451648.

The previous prime is 2205747919. The next prime is 2205747941. The reversal of 2205747936 is 6397475022.

2205747936 is a `hidden beast` number, since 2 + 2 + 0 + 574 + 79 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2205747891 and 2205747900.

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 47 ways as a sum of consecutive naturals, for example, 2666755 + ... + 2667581.

It is an arithmetic number, because the mean of its divisors is an integer number (26371800).

Almost surely, 2^2205747936 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 2205747936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797539200).

2205747936 is an abundant number, since it is smaller than the sum of its proper divisors (5389330464).

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

2205747936 is an frugal number, since it uses more digits than its factorization.

2205747936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2205747936 is about 46965.3908319733. The cubic root of 2205747936 is about 1301.7231461295.

The spelling of 2205747936 in words is "two billion, two hundred five million, seven hundred forty-seven thousand, nine hundred thirty-six".