2225819808 has 144 divisors (see below), whose sum is σ = 6518558592. Its totient is φ = 720000000.

The previous prime is 2225819801. The next prime is 2225819831. The reversal of 2225819808 is 8089185222.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2225819801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2963433 + ... + 2964183.

It is an arithmetic number, because the mean of its divisors is an integer number (45267768).

Almost surely, 2^2225819808 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 2225819808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259279296).

2225819808 is an abundant number, since it is smaller than the sum of its proper divisors (4292738784).

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

2225819808 is a wasteful number, since it uses less digits than its factorization.

2225819808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2225819808 is about 47178.5948073912. The cubic root of 2225819808 is about 1305.6597043235.

The spelling of 2225819808 in words is "two billion, two hundred twenty-five million, eight hundred nineteen thousand, eight hundred eight".