2225089585152 has 1568 divisors, whose sum is σ = 8416397435904. Its totient is φ = 573308928000.

The previous prime is 2225089585123. The next prime is 2225089585217. The reversal of 2225089585152 is 2515859805222.

It is a happy number.

2225089585152 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 0 + 8 + 9 + 585 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 22030589902 + ... + 22030590002.

Almost surely, 2^{2225089585152} 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 2225089585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208198717952).

2225089585152 is an abundant number, since it is smaller than the sum of its proper divisors (6191307850752).

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

2225089585152 is an equidigital number, since it uses as much as digits as its factorization.

2225089585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 2225089585152 in words is "two trillion, two hundred twenty-five billion, eighty-nine million, five hundred eighty-five thousand, one hundred fifty-two".