2225904105600 has 1152 divisors, whose sum is σ = 9594648849600. Its totient is φ = 508699699200.

The previous prime is 2225904105569. The next prime is 2225904105619. The reversal of 2225904105600 is 65014095222.

2225904105600 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 9 + 0 + 41 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 342918355 + ... + 342924845.

Almost surely, 2^{2225904105600} is an apocalyptic number.

2225904105600 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 2225904105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797324424800).

2225904105600 is an abundant number, since it is smaller than the sum of its proper divisors (7368744744000).

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

2225904105600 is an frugal number, since it uses more digits than its factorization.

2225904105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2225904105600 in words is "two trillion, two hundred twenty-five billion, nine hundred four million, one hundred five thousand, six hundred".