2225456046 has 160 divisors (see below), whose sum is σ = 5639103360. Its totient is φ = 650203200.

The previous prime is 2225456039. The next prime is 2225456047. The reversal of 2225456046 is 6406545222.

2225456046 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 45 + 604 + 6 = 666.

It is a super-2 number, since 2×2225456046² = 9905309225355908232, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2225456046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225456047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6413245 + ... + 6413591.

It is an arithmetic number, because the mean of its divisors is an integer number (35244396).

Almost surely, 2^2225456046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225456046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819551680).

2225456046 is an abundant number, since it is smaller than the sum of its proper divisors (3413647314).

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

2225456046 is a wasteful number, since it uses less digits than its factorization.

2225456046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2225456046 is about 47174.7394905367. The cubic root of 2225456046 is about 1305.5885731895.

The spelling of 2225456046 in words is "two billion, two hundred twenty-five million, four hundred fifty-six thousand, forty-six".