2424138314242 has 16 divisors (see below), whose sum is σ = 3850151628312. Its totient is φ = 1140756275200.

The previous prime is 2424138314167. The next prime is 2424138314281.

2424138314242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2394753155001 + 29385159241 = 1547499^2 + 171421^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2424138314195 and 2424138314204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2493978 + ... + 3326890.

Almost surely, 2^{2424138314242} is an apocalyptic number.

2424138314242 is a deficient number, since it is larger than the sum of its proper divisors (1426013314070).

2424138314242 is a wasteful number, since it uses less digits than its factorization.

2424138314242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918533.

The product of its digits is 294912, while the sum is 40.

It can be divided in two parts, 24241383 and 14242, that added together give a square (24255625 = 4925²).

The spelling of 2424138314242 in words is "two trillion, four hundred twenty-four billion, one hundred thirty-eight million, three hundred fourteen thousand, two hundred forty-two".