2442232322442 has 72 divisors (see below), whose sum is σ = 5846733285120. Its totient is φ = 736195561200.

The previous prime is 2442232322393. The next prime is 2442232322449.

2442232322442 is a `hidden beast` number, since 2 + 4 + 422 + 3 + 2 + 3 + 224 + 4 + 2 = 666.

2442232322442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2442232322397 and 2442232322406.

It is not an unprimeable number, because it can be changed into a prime (2442232322449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2519392 + ... + 3351387.

It is an arithmetic number, because the mean of its divisors is an integer number (81204628960).

Almost surely, 2^{2442232322442} is an apocalyptic number.

2442232322442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2442232322442 is an abundant number, since it is smaller than the sum of its proper divisors (3404500962678).

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

2442232322442 is a wasteful number, since it uses less digits than its factorization.

2442232322442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871000 (or 5870986 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 2442232322442 in words is "two trillion, four hundred forty-two billion, two hundred thirty-two million, three hundred twenty-two thousand, four hundred forty-two".