2042442402 has 288 divisors, whose sum is σ = 5822000064. Its totient is φ = 471744000.

The previous prime is 2042442377. The next prime is 2042442403.

2042442402 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2042442403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20222152 + ... + 20222252.

It is an arithmetic number, because the mean of its divisors is an integer number (20215278).

Almost surely, 2^2042442402 is an apocalyptic number.

2042442402 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 2042442402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911000032).

2042442402 is an abundant number, since it is smaller than the sum of its proper divisors (3779557662).

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

2042442402 is a wasteful number, since it uses less digits than its factorization.

2042442402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2042442402 is about 45193.3889191771. The cubic root of 2042442402 is about 1268.7710851827.

It can be divided in two parts, 20424 and 42402, that added together give a palindrome (62826).

The spelling of 2042442402 in words is "two billion, forty-two million, four hundred forty-two thousand, four hundred two".