2204225220240 has 280 divisors, whose sum is σ = 7705559368440. Its totient is φ = 586122780672.

The previous prime is 2204225220209. The next prime is 2204225220259. The reversal of 2204225220240 is 420225224022.

2204225220240 is a `hidden beast` number, since 2 + 204 + 2 + 252 + 202 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 603990100224 + 1600235120016 = 777168^2 + 1265004^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20533426 + ... + 20640494.

Almost surely, 2^{2204225220240} is an apocalyptic number.

2204225220240 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 2204225220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852779684220).

2204225220240 is an abundant number, since it is smaller than the sum of its proper divisors (5501334148200).

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

2204225220240 is a wasteful number, since it uses less digits than its factorization.

2204225220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107453 (or 107432 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The spelling of 2204225220240 in words is "two trillion, two hundred four billion, two hundred twenty-five million, two hundred twenty thousand, two hundred forty".