2430144000 has 240 divisors, whose sum is σ = 8754997680. Its totient is φ = 647884800.

The previous prime is 2430143983. The next prime is 2430144029. The reversal of 2430144000 is 4410342.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573891 + ... + 578109.

It is an arithmetic number, because the mean of its divisors is an integer number (36479157).

Almost surely, 2^2430144000 is an apocalyptic number.

2430144000 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 2430144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377498840).

2430144000 is an abundant number, since it is smaller than the sum of its proper divisors (6324853680).

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

2430144000 is an equidigital number, since it uses as much as digits as its factorization.

2430144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2430144000 is about 49296.4907473138. The cubic root of 2430144000 is about 1344.4479799152.

Adding to 2430144000 its reverse (4410342), we get a palindrome (2434554342).

The spelling of 2430144000 in words is "two billion, four hundred thirty million, one hundred forty-four thousand".