2424664320 has 144 divisors (see below), whose sum is σ = 8339618112. Its totient is φ = 596828160.

The previous prime is 2424664289. The next prime is 2424664351. The reversal of 2424664320 is 234664242.

It is an interprime number because it is at equal distance from previous prime (2424664289) and next prime (2424664351).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25635 + ... + 74205.

Almost surely, 2^2424664320 is an apocalyptic number.

2424664320 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 2424664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169809056).

2424664320 is an abundant number, since it is smaller than the sum of its proper divisors (5914953792).

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

2424664320 is a wasteful number, since it uses less digits than its factorization.

2424664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48608 (or 48594 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 2424664320 is about 49240.8805770165. The cubic root of 2424664320 is about 1343.4366970456.

The spelling of 2424664320 in words is "two billion, four hundred twenty-four million, six hundred sixty-four thousand, three hundred twenty".