2422882242 has 192 divisors, whose sum is σ = 6275543040. Its totient is φ = 667699200.

The previous prime is 2422882219. The next prime is 2422882303.

2422882242 is a `hidden beast` number, since 2 + 422 + 8 + 8 + 224 + 2 = 666.

2422882242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2422882197 and 2422882206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12553698 + ... + 12553890.

It is an arithmetic number, because the mean of its divisors is an integer number (32685120).

Almost surely, 2^2422882242 is an apocalyptic number.

2422882242 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 2422882242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137771520).

2422882242 is an abundant number, since it is smaller than the sum of its proper divisors (3852660798).

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

2422882242 is a wasteful number, since it uses less digits than its factorization.

2422882242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 346 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 2422882242 is about 49222.7817377279. The cubic root of 2422882242 is about 1343.1074836720.

The spelling of 2422882242 in words is "two billion, four hundred twenty-two million, eight hundred eighty-two thousand, two hundred forty-two".