2422334332242 has 144 divisors (see below), whose sum is σ = 5927466242880. Its totient is φ = 713881460160.

The previous prime is 2422334332211. The next prime is 2422334332247.

2422334332242 is a `hidden beast` number, since 2 + 42 + 2 + 3 + 343 + 32 + 242 = 666.

2422334332242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2422334332197 and 2422334332206.

It is not an unprimeable number, because it can be changed into a prime (2422334332247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227166603 + ... + 227177265.

It is an arithmetic number, because the mean of its divisors is an integer number (41162960020).

Almost surely, 2^{2422334332242} is an apocalyptic number.

2422334332242 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 2422334332242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963733121440).

2422334332242 is an abundant number, since it is smaller than the sum of its proper divisors (3505131910638).

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

2422334332242 is a wasteful number, since it uses less digits than its factorization.

2422334332242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13549 (or 13535 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 2422334332242 in words is "two trillion, four hundred twenty-two billion, three hundred thirty-four million, three hundred thirty-two thousand, two hundred forty-two".