2225859667200 has 1296 divisors, whose sum is σ = 9552852953280. Its totient is φ = 488480440320.

The previous prime is 2225859667117. The next prime is 2225859667247. The reversal of 2225859667200 is 27669585222.

2225859667200 is a `hidden beast` number, since 2 + 2 + 25 + 8 + 596 + 6 + 7 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241857799 + ... + 241867001.

Almost surely, 2^{2225859667200} is an apocalyptic number.

2225859667200 is a gapful number since it is divisible by the number (20) 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 2225859667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776426476640).

2225859667200 is an abundant number, since it is smaller than the sum of its proper divisors (7326993286080).

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

2225859667200 is a wasteful number, since it uses less digits than its factorization.

2225859667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9284 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2225859667200 in words is "two trillion, two hundred twenty-five billion, eight hundred fifty-nine million, six hundred sixty-seven thousand, two hundred".