8238750240 has 384 divisors, whose sum is σ = 30549657600. Its totient is φ = 1865493504.

The previous prime is 8238750211. The next prime is 8238750241. The reversal of 8238750240 is 420578328.

It is not an unprimeable number, because it can be changed into a prime (8238750241) 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, 26836167 + ... + 26836473.

It is an arithmetic number, because the mean of its divisors is an integer number (79556400).

Almost surely, 2^8238750240 is an apocalyptic number.

8238750240 is a gapful number since it is divisible by the number (80) 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 8238750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274828800).

8238750240 is an abundant number, since it is smaller than the sum of its proper divisors (22310907360).

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

8238750240 is a wasteful number, since it uses less digits than its factorization.

8238750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 8238750240 is about 90767.5616065563. The cubic root of 8238750240 is about 2019.7011484817.

The spelling of 8238750240 in words is "eight billion, two hundred thirty-eight million, seven hundred fifty thousand, two hundred forty".