2225942208 has 504 divisors, whose sum is σ = 8094707712. Its totient is φ = 603542016.

The previous prime is 2225942153. The next prime is 2225942233. The reversal of 2225942208 is 8022495222.

2225942208 is a `hidden beast` number, since 2 + 225 + 9 + 422 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 17527041 + ... + 17527167.

It is an arithmetic number, because the mean of its divisors is an integer number (16060928).

Almost surely, 2^2225942208 is an apocalyptic number.

2225942208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047353856).

2225942208 is an abundant number, since it is smaller than the sum of its proper divisors (5868765504).

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

2225942208 is a wasteful number, since it uses less digits than its factorization.

2225942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2225942208 is about 47179.8919880069. The cubic root of 2225942208 is about 1305.6836370512.

The spelling of 2225942208 in words is "two billion, two hundred twenty-five million, nine hundred forty-two thousand, two hundred eight".