2424024960 has 512 divisors, whose sum is σ = 9327467520. Its totient is φ = 523960320.

The previous prime is 2424024937. The next prime is 2424024961. The reversal of 2424024960 is 694204242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424024961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29205079 + ... + 29205161.

It is an arithmetic number, because the mean of its divisors is an integer number (18217710).

Almost surely, 2^2424024960 is an apocalyptic number.

2424024960 is a gapful number since it is divisible by the number (20) 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 2424024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663733760).

2424024960 is an abundant number, since it is smaller than the sum of its proper divisors (6903442560).

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

2424024960 is a wasteful number, since it uses less digits than its factorization.

2424024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2424024960 is about 49234.3879823848. The cubic root of 2424024960 is about 1343.3186030084.

The spelling of 2424024960 in words is "two billion, four hundred twenty-four million, twenty-four thousand, nine hundred sixty".