24842000000 has 112 divisors (see below), whose sum is σ = 61866590910. Its totient is φ = 9936000000.

The previous prime is 24841999991. The next prime is 24842000003. The reversal of 24842000000 is 24842.

It can be written as a sum of positive squares in 7 ways, for example, as 6037911616 + 18804088384 = 77704^2 + 137128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (24842000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1993790 + ... + 2006210.

Almost surely, 2^24842000000 is an apocalyptic number.

24842000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24842000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30933295455).

24842000000 is an abundant number, since it is smaller than the sum of its proper divisors (37024590910).

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

24842000000 is an frugal number, since it uses more digits than its factorization.

24842000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24842000000 its reverse (24842), we get a palindrome (24842024842).

Multiplying 24842000000 by its reverse (24842), we get a square (617124964000000 = 24842000²).

24842000000 divided by its reverse (24842) gives a 6-th power (1000000 = 10⁶).

The spelling of 24842000000 in words is "twenty-four billion, eight hundred forty-two million", and thus it is an aban number.