2412413012430 has 192 divisors, whose sum is σ = 6857167423680. Its totient is φ = 603396200448.

The previous prime is 2412413012369. The next prime is 2412413012479. The reversal of 2412413012430 is 342103142142.

2412413012430 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 413 + 0 + 1 + 243 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2412413012394 and 2412413012403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22810032 + ... + 22915548.

It is an arithmetic number, because the mean of its divisors is an integer number (35714413665).

Almost surely, 2^{2412413012430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412413012430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428583711840).

2412413012430 is an abundant number, since it is smaller than the sum of its proper divisors (4444754411250).

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

2412413012430 is a wasteful number, since it uses less digits than its factorization.

2412413012430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105860 (or 105837 counting only the distinct ones).

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

Adding to 2412413012430 its reverse (342103142142), we get a palindrome (2754516154572).

The spelling of 2412413012430 in words is "two trillion, four hundred twelve billion, four hundred thirteen million, twelve thousand, four hundred thirty".