2242424217600 has 2016 divisors, whose sum is σ = 9814154103936. Its totient is φ = 496867737600.

The previous prime is 2242424217571. The next prime is 2242424217613. The reversal of 2242424217600 is 67124242422.

2242424217600 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 2 + 42 + 1 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14282956722 + ... + 14282956878.

It is an arithmetic number, because the mean of its divisors is an integer number (4868131996).

Almost surely, 2^{2242424217600} is an apocalyptic number.

2242424217600 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 2242424217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907077051968).

2242424217600 is an abundant number, since it is smaller than the sum of its proper divisors (7571729886336).

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

2242424217600 is an equidigital number, since it uses as much as digits as its factorization.

2242424217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2242424217600 in words is "two trillion, two hundred forty-two billion, four hundred twenty-four million, two hundred seventeen thousand, six hundred".