2429941668 has 288 divisors, whose sum is σ = 7585643520. Its totient is φ = 587758080.

The previous prime is 2429941667. The next prime is 2429941669. The reversal of 2429941668 is 8661499242.

It is an interprime number because it is at equal distance from previous prime (2429941667) and next prime (2429941669).

It is a self number, because there is not a number n which added to its sum of digits gives 2429941668.

It is not an unprimeable number, because it can be changed into a prime (2429941667) 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 95 ways as a sum of consecutive naturals, for example, 41185423 + ... + 41185481.

It is an arithmetic number, because the mean of its divisors is an integer number (26339040).

Almost surely, 2^2429941668 is an apocalyptic number.

2429941668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429941668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792821760).

2429941668 is an abundant number, since it is smaller than the sum of its proper divisors (5155701852).

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

2429941668 is a wasteful number, since it uses less digits than its factorization.

2429941668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 2429941668 is about 49294.4385098360. The cubic root of 2429941668 is about 1344.4106662966.

The spelling of 2429941668 in words is "two billion, four hundred twenty-nine million, nine hundred forty-one thousand, six hundred sixty-eight".