2430000000000 has 726 divisors, whose sum is σ = 9095556454348. Its totient is φ = 648000000000.

The previous prime is 2429999999989. The next prime is 2430000000011. The reversal of 2430000000000 is 342.

It is a perfect power (a 5-th power), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2429999999989) and next prime (2430000000011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 2430000000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 485999999998 + ... + 486000000002.

Almost surely, 2^{2430000000000} is an apocalyptic number.

2430000000000 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 2430000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547778227174).

2430000000000 is an abundant number, since it is smaller than the sum of its proper divisors (6665556454348).

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

2430000000000 is an frugal number, since it uses more digits than its factorization.

2430000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 2430000000000 its reverse (342), we get a palindrome (2430000000342).

The spelling of 2430000000000 in words is "two trillion, four hundred thirty billion", and thus it is an aban number.