2225409768 has 128 divisors (see below), whose sum is σ = 6347980800. Its totient is φ = 722029248.

The previous prime is 2225409737. The next prime is 2225409817. The reversal of 2225409768 is 8679045222.

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 31 ways as a sum of consecutive naturals, for example, 2263405 + ... + 2264387.

It is an arithmetic number, because the mean of its divisors is an integer number (49593600).

Almost surely, 2^2225409768 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 2225409768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173990400).

2225409768 is an abundant number, since it is smaller than the sum of its proper divisors (4122571032).

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

2225409768 is a wasteful number, since it uses less digits than its factorization.

2225409768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2225409768 is about 47174.2489924323. The cubic root of 2225409768 is about 1305.5795232921.

The spelling of 2225409768 in words is "two billion, two hundred twenty-five million, four hundred nine thousand, seven hundred sixty-eight".