2430320000 has 160 divisors (see below), whose sum is σ = 6409604520. Its totient is φ = 914432000.

The previous prime is 2430319999. The next prime is 2430320003. The reversal of 2430320000 is 230342.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1359107 + ... + 1360893.

Almost surely, 2^2430320000 is an apocalyptic number.

2430320000 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 2430320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204802260).

2430320000 is an abundant number, since it is smaller than the sum of its proper divisors (3979284520).

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

2430320000 is an equidigital number, since it uses as much as digits as its factorization.

2430320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2430320000 is about 49298.2758319193. The cubic root of 2430320000 is about 1344.4804357604.

Adding to 2430320000 its reverse (230342), we get a palindrome (2430550342).

It can be divided in two parts, 2430 and 320000, that multiplied together give a 5-th power (777600000 = 60⁵).

The spelling of 2430320000 in words is "two billion, four hundred thirty million, three hundred twenty thousand".