2431406106 has 32 divisors (see below), whose sum is σ = 5435498880. Its totient is φ = 805612608.

The previous prime is 2431406101. The next prime is 2431406119. The reversal of 2431406106 is 6016041342.

2431406106 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 40 + 610 + 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 2431406106.

It is not an unprimeable number, because it can be changed into a prime (2431406101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125791 + ... + 143826.

It is an arithmetic number, because the mean of its divisors is an integer number (169859340).

Almost surely, 2^2431406106 is an apocalyptic number.

2431406106 is an abundant number, since it is smaller than the sum of its proper divisors (3004092774).

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

2431406106 is a wasteful number, since it uses less digits than its factorization.

2431406106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269795 (or 269789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2431406106 is about 49309.2902605584. The cubic root of 2431406106 is about 1344.6806879623.

Adding to 2431406106 its reverse (6016041342), we get a palindrome (8447447448).

The spelling of 2431406106 in words is "two billion, four hundred thirty-one million, four hundred six thousand, one hundred six".