8238252240 has 120 divisors (see below), whose sum is σ = 28869759360. Its totient is φ = 2101347072.

The previous prime is 8238252149. The next prime is 8238252247. The reversal of 8238252240 is 422528328.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8238252195 and 8238252204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8238252247) 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, 232180 + ... + 265299.

It is an arithmetic number, because the mean of its divisors is an integer number (240581328).

Almost surely, 2^8238252240 is an apocalyptic number.

8238252240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8238252240 is an abundant number, since it is smaller than the sum of its proper divisors (20631507120).

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

8238252240 is a wasteful number, since it uses less digits than its factorization.

8238252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497521 (or 497512 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8238252240 is about 90764.8182943149. The cubic root of 8238252240 is about 2019.6604533355.

The spelling of 8238252240 in words is "eight billion, two hundred thirty-eight million, two hundred fifty-two thousand, two hundred forty".