2430324120420 has 192 divisors, whose sum is σ = 8671690352640. Its totient is φ = 553539505536.

The previous prime is 2430324120407. The next prime is 2430324120431. The reversal of 2430324120420 is 240214230342.

2430324120420 is a `hidden beast` number, since 2 + 430 + 3 + 2 + 4 + 1 + 204 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66202 + ... + 2205681.

It is an arithmetic number, because the mean of its divisors is an integer number (45165053920).

Almost surely, 2^{2430324120420} is an apocalyptic number.

2430324120420 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 2430324120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335845176320).

2430324120420 is an abundant number, since it is smaller than the sum of its proper divisors (6241366232220).

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

2430324120420 is a wasteful number, since it uses less digits than its factorization.

2430324120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272191 (or 2272183 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2430324120420 its reverse (240214230342), we get a palindrome (2670538350762).

The spelling of 2430324120420 in words is "two trillion, four hundred thirty billion, three hundred twenty-four million, one hundred twenty thousand, four hundred twenty".