8251242480 has 720 divisors, whose sum is σ = 32709156480. Its totient is φ = 1856784384.

The previous prime is 8251242473. The next prime is 8251242521. The reversal of 8251242480 is 842421528.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99412519 + ... + 99412601.

It is an arithmetic number, because the mean of its divisors is an integer number (45429384).

Almost surely, 2^8251242480 is an apocalyptic number.

8251242480 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 8251242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354578240).

8251242480 is an abundant number, since it is smaller than the sum of its proper divisors (24457914000).

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

8251242480 is a wasteful number, since it uses less digits than its factorization.

8251242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8251242480 is about 90836.3499927204. The cubic root of 8251242480 is about 2020.7214427930.

The spelling of 8251242480 in words is "eight billion, two hundred fifty-one million, two hundred forty-two thousand, four hundred eighty".