2412430240000 has 405 divisors, whose sum is σ = 6632923948189. Its totient is φ = 874762240000.

The previous prime is 2412430239983. The next prime is 2412430240019. The reversal of 2412430240000 is 420342142.

It is a happy number.

The square root of 2412430240000 is 1553200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2033841072384 + 378589167616 = 1426128^2 + 615296^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6834079824 + ... + 6834080176.

Almost surely, 2^{2412430240000} is an apocalyptic number.

2412430240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2412430240000 is the 1553200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412430240000

2412430240000 is an abundant number, since it is smaller than the sum of its proper divisors (4220493708189).

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

2412430240000 is an frugal number, since it uses more digits than its factorization.

2412430240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2412430240000 its reverse (420342142), we get a palindrome (2412850582142).

The spelling of 2412430240000 in words is "two trillion, four hundred twelve billion, four hundred thirty million, two hundred forty thousand".