24742455424742 has 32 divisors (see below), whose sum is σ = 40708434816000. Its totient is φ = 11185290864000.

The previous prime is 24742455424717. The next prime is 24742455424763.

24742455424742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24742455424742² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9090734 + ... + 11494622.

It is an arithmetic number, because the mean of its divisors is an integer number (1272138588000).

Almost surely, 2^{24742455424742} is an apocalyptic number.

24742455424742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24742455424742 is a deficient number, since it is larger than the sum of its proper divisors (15965979391258).

24742455424742 is a wasteful number, since it uses less digits than its factorization.

24742455424742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406452.

The product of its digits is 80281600, while the sum is 56.

It can be divided in two parts, 2474245 and 5424742, that added together give a palindrome (7898987).

The spelling of 24742455424742 in words is "twenty-four trillion, seven hundred forty-two billion, four hundred fifty-five million, four hundred twenty-four thousand, seven hundred forty-two".