2424004242 has 64 divisors (see below), whose sum is σ = 5409884160. Its totient is φ = 717912000.

The previous prime is 2424004223. The next prime is 2424004243.

2424004242 is nontrivially palindromic in base 10.

2424004242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2424004242 is a modest number, since divided by 4242 gives 2424 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2424004243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524313 + ... + 528915.

It is an arithmetic number, because the mean of its divisors is an integer number (84529440).

Almost surely, 2^2424004242 is an apocalyptic number.

2424004242 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 2424004242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704942080).

2424004242 is an abundant number, since it is smaller than the sum of its proper divisors (2985879918).

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

2424004242 is a wasteful number, since it uses less digits than its factorization.

2424004242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799.

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

The square root of 2424004242 is about 49234.1775802135. The cubic root of 2424004242 is about 1343.3147759089.

It can be divided in two parts, 242400 and 4242, that added together give a palindrome (246642).

The spelling of 2424004242 in words is "two billion, four hundred twenty-four million, four thousand, two hundred forty-two".