24782028742 has 32 divisors (see below), whose sum is σ = 39147945984. Its totient is φ = 11750745600.

The previous prime is 24782028737. The next prime is 24782028751.

24782028742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24782028742² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 24782028692 and 24782028701.

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, 786267 + ... + 817177.

It is an arithmetic number, because the mean of its divisors is an integer number (1223373312).

Almost surely, 2^24782028742 is an apocalyptic number.

24782028742 is a deficient number, since it is larger than the sum of its proper divisors (14365917242).

24782028742 is a wasteful number, since it uses less digits than its factorization.

24782028742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31204.

The product of its (nonzero) digits is 802816, while the sum is 46.

The spelling of 24782028742 in words is "twenty-four billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred forty-two".