2205728316 has 144 divisors (see below), whose sum is σ = 6494342400. Its totient is φ = 624153600.

The previous prime is 2205728309. The next prime is 2205728333. The reversal of 2205728316 is 6138275022.

2205728316 is a `hidden beast` number, since 2 + 2 + 0 + 572 + 83 + 1 + 6 = 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532140 + ... + 536268.

It is an arithmetic number, because the mean of its divisors is an integer number (45099600).

Almost surely, 2^2205728316 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 2205728316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247171200).

2205728316 is an abundant number, since it is smaller than the sum of its proper divisors (4288614084).

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

2205728316 is a wasteful number, since it uses less digits than its factorization.

2205728316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2205728316 is about 46965.1819542946. The cubic root of 2205728316 is about 1301.7192865341.

The spelling of 2205728316 in words is "two billion, two hundred five million, seven hundred twenty-eight thousand, three hundred sixteen".