2431424000 has 80 divisors (see below), whose sum is σ = 6063067296. Its totient is φ = 972544000.

The previous prime is 2431423993. The next prime is 2431424011. The reversal of 2431424000 is 4241342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45005 + ... + 82995.

Almost surely, 2^2431424000 is an apocalyptic number.

2431424000 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 2431424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031533648).

2431424000 is an abundant number, since it is smaller than the sum of its proper divisors (3631643296).

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

2431424000 is an frugal number, since it uses more digits than its factorization.

2431424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38024 (or 37998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2431424000 is about 49309.4717067624. The cubic root of 2431424000 is about 1344.6839866924.

Adding to 2431424000 its reverse (4241342), we get a palindrome (2435665342).

The spelling of 2431424000 in words is "two billion, four hundred thirty-one million, four hundred twenty-four thousand".