2412180736146 has 96 divisors (see below), whose sum is σ = 5572736357760. Its totient is φ = 752743901952.

The previous prime is 2412180736129. The next prime is 2412180736157. The reversal of 2412180736146 is 6416370812142.

2412180736146 is a `hidden beast` number, since 2 + 4 + 1 + 21 + 8 + 0 + 7 + 3 + 614 + 6 = 666.

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, 2682891 + ... + 3467313.

It is an arithmetic number, because the mean of its divisors is an integer number (58049337060).

Almost surely, 2^{2412180736146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412180736146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786368178880).

2412180736146 is an abundant number, since it is smaller than the sum of its proper divisors (3160555621614).

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

2412180736146 is a wasteful number, since it uses less digits than its factorization.

2412180736146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784640 (or 784637 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2412180736146 in words is "two trillion, four hundred twelve billion, one hundred eighty million, seven hundred thirty-six thousand, one hundred forty-six".