24624042642 has 48 divisors (see below), whose sum is σ = 55565894592. Its totient is φ = 7873679520.

The previous prime is 24624042601. The next prime is 24624042659.

24624042642 is a `hidden beast` number, since 2 + 4 + 6 + 2 + 4 + 0 + 4 + 2 + 642 = 666.

24624042642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24624042597 and 24624042606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213088 + ... + 307659.

It is an arithmetic number, because the mean of its divisors is an integer number (1157622804).

Almost surely, 2^24624042642 is an apocalyptic number.

24624042642 is an abundant number, since it is smaller than the sum of its proper divisors (30941851950).

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

24624042642 is a wasteful number, since it uses less digits than its factorization.

24624042642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520863 (or 520860 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 246240 and 42642, that added together give a palindrome (288882).

The spelling of 24624042642 in words is "twenty-four billion, six hundred twenty-four million, forty-two thousand, six hundred forty-two".