2265206208 has 224 divisors, whose sum is σ = 6676144128. Its totient is φ = 674611200.

The previous prime is 2265206161. The next prime is 2265206213. The reversal of 2265206208 is 8026025622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6172041 + ... + 6172407.

Almost surely, 2^2265206208 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 2265206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338072064).

2265206208 is an abundant number, since it is smaller than the sum of its proper divisors (4410937920).

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

2265206208 is a wasteful number, since it uses less digits than its factorization.

2265206208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2265206208 is about 47594.1825016461. The cubic root of 2265206208 is about 1313.3160376901.

The spelling of 2265206208 in words is "two billion, two hundred sixty-five million, two hundred six thousand, two hundred eight".