2225011235200 has 192 divisors, whose sum is σ = 5938593811920. Its totient is φ = 818861875200.

The previous prime is 2225011235173. The next prime is 2225011235201. The reversal of 2225011235200 is 25321105222.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225011235201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12684090 + ... + 12858310.

Almost surely, 2^{2225011235200} is an apocalyptic number.

2225011235200 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 2225011235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969296905960).

2225011235200 is an abundant number, since it is smaller than the sum of its proper divisors (3713582576720).

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

2225011235200 is a wasteful number, since it uses less digits than its factorization.

2225011235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174565 (or 174548 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 2225011235200 in words is "two trillion, two hundred twenty-five billion, eleven million, two hundred thirty-five thousand, two hundred".