2241918544320 has 2688 divisors, whose sum is σ = 10339432427520. Its totient is φ = 458629226496.

The previous prime is 2241918544303. The next prime is 2241918544339. The reversal of 2241918544320 is 234458191422.

2241918544320 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 9 + 185 + 443 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 20952509707 + ... + 20952509813.

It is an arithmetic number, because the mean of its divisors is an integer number (3846515040).

Almost surely, 2^{2241918544320} is an apocalyptic number.

2241918544320 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 2241918544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169716213760).

2241918544320 is an abundant number, since it is smaller than the sum of its proper divisors (8097513883200).

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

2241918544320 is a wasteful number, since it uses less digits than its factorization.

2241918544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2241918544320 in words is "two trillion, two hundred forty-one billion, nine hundred eighteen million, five hundred forty-four thousand, three hundred twenty".