8251242720 has 384 divisors, whose sum is σ = 31506112512. Its totient is φ = 1775001600.

The previous prime is 8251242707. The next prime is 8251242721. The reversal of 8251242720 is 272421528.

It is a super-3 number, since 3×8251242720³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8251242721) 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, 3852850 + ... + 3854990.

It is an arithmetic number, because the mean of its divisors is an integer number (82047168).

Almost surely, 2^8251242720 is an apocalyptic number.

8251242720 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 8251242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753056256).

8251242720 is an abundant number, since it is smaller than the sum of its proper divisors (23254869792).

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

8251242720 is a wasteful number, since it uses less digits than its factorization.

8251242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 8251242720 is about 90836.3513137775. The cubic root of 8251242720 is about 2020.7214623849.

The spelling of 8251242720 in words is "eight billion, two hundred fifty-one million, two hundred forty-two thousand, seven hundred twenty".