24742540140 has 96 divisors (see below), whose sum is σ = 70648381440. Its totient is φ = 6467824896.

The previous prime is 24742540117. The next prime is 24742540153. The reversal of 24742540140 is 4104524742.

It is a super-2 number, since 2×24742540140² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4573317 + ... + 4578723.

It is an arithmetic number, because the mean of its divisors is an integer number (735920640).

Almost surely, 2^24742540140 is an apocalyptic number.

24742540140 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 24742540140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35324190720).

24742540140 is an abundant number, since it is smaller than the sum of its proper divisors (45905841300).

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

24742540140 is a wasteful number, since it uses less digits than its factorization.

24742540140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

The spelling of 24742540140 in words is "twenty-four billion, seven hundred forty-two million, five hundred forty thousand, one hundred forty".