2416124106 has 64 divisors (see below), whose sum is σ = 5879433600. Its totient is φ = 729388800.

The previous prime is 2416124101. The next prime is 2416124141. The reversal of 2416124106 is 6014216142.

2416124106 is a `hidden beast` number, since 2 + 4 + 1 + 612 + 41 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2416124106.

It is not an unprimeable number, because it can be changed into a prime (2416124101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152226 + ... + 167346.

It is an arithmetic number, because the mean of its divisors is an integer number (91866150).

Almost surely, 2^2416124106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416124106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939716800).

2416124106 is an abundant number, since it is smaller than the sum of its proper divisors (3463309494).

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

2416124106 is a wasteful number, since it uses less digits than its factorization.

2416124106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15412 (or 15406 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2416124106 is about 49154.0853439467. The cubic root of 2416124106 is about 1341.8575459777.

The spelling of 2416124106 in words is "two billion, four hundred sixteen million, one hundred twenty-four thousand, one hundred six".