2430031104000 has 1344 divisors, whose sum is σ = 9426108510000. Its totient is φ = 624269721600.

The previous prime is 2430031103939. The next prime is 2430031104089. The reversal of 2430031104000 is 4011300342.

It can be written as a sum of positive squares in 8 ways, for example, as 146499093504 + 2283532010496 = 382752^2 + 1511136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5412095776 + ... + 5412096224.

Almost surely, 2^{2430031104000} is an apocalyptic number.

2430031104000 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 2430031104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713054255000).

2430031104000 is an abundant number, since it is smaller than the sum of its proper divisors (6996077406000).

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

2430031104000 is an frugal number, since it uses more digits than its factorization.

2430031104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2430031104000 its reverse (4011300342), we get a palindrome (2434042404342).

The spelling of 2430031104000 in words is "two trillion, four hundred thirty billion, thirty-one million, one hundred four thousand".