24222300322242 has 256 divisors, whose sum is σ = 58301638064640. Its totient is φ = 6624799948800.

The previous prime is 24222300322223. The next prime is 24222300322247.

It is a happy number.

24222300322242 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (24222300322247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1171224142 + ... + 1171244822.

It is an arithmetic number, because the mean of its divisors is an integer number (227740773690).

Almost surely, 2^{24222300322242} is an apocalyptic number.

24222300322242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24222300322242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29150819032320).

24222300322242 is an abundant number, since it is smaller than the sum of its proper divisors (34079337742398).

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

24222300322242 is a wasteful number, since it uses less digits than its factorization.

24222300322242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21157.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 24222300 and 322242, that added together give a palindrome (24544542).

The spelling of 24222300322242 in words is "twenty-four trillion, two hundred twenty-two billion, three hundred million, three hundred twenty-two thousand, two hundred forty-two".