2413334333106 has 80 divisors (see below), whose sum is σ = 5434777051704. Its totient is φ = 800415323136.

The previous prime is 2413334332999. The next prime is 2413334333119. The reversal of 2413334333106 is 6013334333142.

2413334333106 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 334 + 3 + 3 + 310 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1629031032225 + 784303300881 = 1276335^2 + 885609^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54067710 + ... + 54112326.

Almost surely, 2^{2413334333106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413334333106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717388525852).

2413334333106 is an abundant number, since it is smaller than the sum of its proper divisors (3021442718598).

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

2413334333106 is a wasteful number, since it uses less digits than its factorization.

2413334333106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46297 (or 46288 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 2413334333106 its sum of digits (36), we get a palindrome (2413334333142).

Adding to 2413334333106 its reverse (6013334333142), we get a palindrome (8426668666248).

The spelling of 2413334333106 in words is "two trillion, four hundred thirteen billion, three hundred thirty-four million, three hundred thirty-three thousand, one hundred six".