9752259240 has 96 divisors (see below), whose sum is σ = 31807170720. Its totient is φ = 2591385984.

The previous prime is 9752259239. The next prime is 9752259247. The reversal of 9752259240 is 429522579.

9752259240 is a `hidden beast` number, since 9 + 7 + 52 + 2 + 592 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9752259247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54019 + ... + 149741.

It is an arithmetic number, because the mean of its divisors is an integer number (331324695).

Almost surely, 2^9752259240 is an apocalyptic number.

9752259240 is a gapful number since it is divisible by the number (90) 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 9752259240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903585360).

9752259240 is an abundant number, since it is smaller than the sum of its proper divisors (22054911480).

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

9752259240 is a wasteful number, since it uses less digits than its factorization.

9752259240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96023 (or 96016 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9752259240 is about 98753.5277344561. The cubic root of 9752259240 is about 2136.4943359927.

The spelling of 9752259240 in words is "nine billion, seven hundred fifty-two million, two hundred fifty-nine thousand, two hundred forty".