24275857242 has 128 divisors (see below), whose sum is σ = 63628185600. Its totient is φ = 6123902400.

The previous prime is 24275857241. The next prime is 24275857267.

24275857242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24275857191 and 24275857200.

It is not an unprimeable number, because it can be changed into a prime (24275857241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595617 + ... + 635067.

It is an arithmetic number, because the mean of its divisors is an integer number (497095200).

Almost surely, 2^24275857242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24275857242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31814092800).

24275857242 is an abundant number, since it is smaller than the sum of its proper divisors (39352328358).

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

24275857242 is a wasteful number, since it uses less digits than its factorization.

24275857242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39513 (or 39499 counting only the distinct ones).

The product of its digits is 2508800, while the sum is 48.

The spelling of 24275857242 in words is "twenty-four billion, two hundred seventy-five million, eight hundred fifty-seven thousand, two hundred forty-two".