2642142135205 has 16 divisors (see below), whose sum is σ = 3251797496640. Its totient is φ = 2059789471488.

The previous prime is 2642142135121. The next prime is 2642142135209. The reversal of 2642142135205 is 5025312412462.

It is a cyclic number.

It is not a de Polignac number, because 2642142135205 - 2¹⁵ = 2642142102437 is a prime.

It is a super-3 number, since 3×2642142135205³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642142135209) 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, 14097475 + ... + 14283664.

It is an arithmetic number, because the mean of its divisors is an integer number (203237343540).

Almost surely, 2^{2642142135205} is an apocalyptic number.

It is an amenable number.

2642142135205 is a deficient number, since it is larger than the sum of its proper divisors (609655361435).

2642142135205 is a wasteful number, since it uses less digits than its factorization.

2642142135205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28381620.

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 2642142135205 its reverse (5025312412462), we get a palindrome (7667454547667).

The spelling of 2642142135205 in words is "two trillion, six hundred forty-two billion, one hundred forty-two million, one hundred thirty-five thousand, two hundred five".