2225166207264 has 960 divisors, whose sum is σ = 9089845712640. Its totient is φ = 515092193280.

The previous prime is 2225166207239. The next prime is 2225166207289. The reversal of 2225166207264 is 4627026615222.

It is a happy number.

2225166207264 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 16 + 620 + 7 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2225166207239) and next prime (2225166207289).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75228382 + ... + 75257954.

It is an arithmetic number, because the mean of its divisors is an integer number (9468589284).

Almost surely, 2^{2225166207264} is an apocalyptic number.

2225166207264 is a gapful number since it is divisible by the number (24) 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 2225166207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544922856320).

2225166207264 is an abundant number, since it is smaller than the sum of its proper divisors (6864679505376).

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

2225166207264 is a wasteful number, since it uses less digits than its factorization.

2225166207264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29655 (or 29638 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2225166207264 in words is "two trillion, two hundred twenty-five billion, one hundred sixty-six million, two hundred seven thousand, two hundred sixty-four".