2430414310104 has 192 divisors, whose sum is σ = 7277796864000. Its totient is φ = 726602607360.

The previous prime is 2430414310099. The next prime is 2430414310111. The reversal of 2430414310104 is 4010134140342.

2430414310104 is a `hidden beast` number, since 24 + 304 + 14 + 310 + 10 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17937042 + ... + 18072030.

It is an arithmetic number, because the mean of its divisors is an integer number (37905192000).

Almost surely, 2^{2430414310104} is an apocalyptic number.

2430414310104 is a gapful number since it is divisible by the number (24) 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 2430414310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638898432000).

2430414310104 is an abundant number, since it is smaller than the sum of its proper divisors (4847382553896).

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

2430414310104 is a wasteful number, since it uses less digits than its factorization.

2430414310104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135318 (or 135311 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2430414310104 its reverse (4010134140342), we get a palindrome (6440548450446).

The spelling of 2430414310104 in words is "two trillion, four hundred thirty billion, four hundred fourteen million, three hundred ten thousand, one hundred four".