2442141306 has 96 divisors (see below), whose sum is σ = 6004407360. Its totient is φ = 735181920.

The previous prime is 2442141259. The next prime is 2442141329. The reversal of 2442141306 is 6031412442.

It is a happy number.

2442141306 is a `hidden beast` number, since 244 + 2 + 1 + 413 + 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 2442141306.

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, 1063896 + ... + 1066188.

It is an arithmetic number, because the mean of its divisors is an integer number (62545910).

Almost surely, 2^2442141306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442141306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002203680).

2442141306 is an abundant number, since it is smaller than the sum of its proper divisors (3562266054).

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

2442141306 is a wasteful number, since it uses less digits than its factorization.

2442141306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2472 counting only the distinct ones).

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

The square root of 2442141306 is about 49418.0261240774. The cubic root of 2442141306 is about 1346.6568041490.

Adding to 2442141306 its reverse (6031412442), we get a palindrome (8473553748).

The spelling of 2442141306 in words is "two billion, four hundred forty-two million, one hundred forty-one thousand, three hundred six".