8242254720 has 1152 divisors, whose sum is σ = 36732852000. Its totient is φ = 1690730496.

The previous prime is 8242254697. The next prime is 8242254731. The reversal of 8242254720 is 274522428.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 155514214 + ... + 155514266.

Almost surely, 2^8242254720 is an apocalyptic number.

8242254720 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 8242254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366426000).

8242254720 is an abundant number, since it is smaller than the sum of its proper divisors (28490597280).

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

8242254720 is a wasteful number, since it uses less digits than its factorization.

8242254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 8242254720 is about 90786.8642480838. The cubic root of 8242254720 is about 2019.9874782742.

The spelling of 8242254720 in words is "eight billion, two hundred forty-two million, two hundred fifty-four thousand, seven hundred twenty".