2413120340232 has 256 divisors, whose sum is σ = 7862427648000. Its totient is φ = 671538802176.

The previous prime is 2413120340173. The next prime is 2413120340233. The reversal of 2413120340232 is 2320430213142.

2413120340232 is a `hidden beast` number, since 2 + 4 + 1 + 312 + 0 + 340 + 2 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2413120340196 and 2413120340205.

It is not an unprimeable number, because it can be changed into a prime (2413120340233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8882233 + ... + 9149879.

It is an arithmetic number, because the mean of its divisors is an integer number (30712608000).

Almost surely, 2^{2413120340232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413120340232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931213824000).

2413120340232 is an abundant number, since it is smaller than the sum of its proper divisors (5449307307768).

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

2413120340232 is a wasteful number, since it uses less digits than its factorization.

2413120340232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267825 (or 267815 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2413120340232 its reverse (2320430213142), we get a palindrome (4733550553374).

The spelling of 2413120340232 in words is "two trillion, four hundred thirteen billion, one hundred twenty million, three hundred forty thousand, two hundred thirty-two".