8282514240 has 1344 divisors, whose sum is σ = 40739811840. Its totient is φ = 1495203840.

The previous prime is 8282514197. The next prime is 8282514241. The reversal of 8282514240 is 424152828.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 8282514195 and 8282514204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282514241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487206712 + ... + 487206728.

It is an arithmetic number, because the mean of its divisors is an integer number (30312360).

Almost surely, 2^8282514240 is an apocalyptic number.

8282514240 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 8282514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369905920).

8282514240 is an abundant number, since it is smaller than the sum of its proper divisors (32457297600).

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

8282514240 is a wasteful number, since it uses less digits than its factorization.

8282514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

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

The square root of 8282514240 is about 91008.3196196919. The cubic root of 8282514240 is about 2023.2710326678.

The spelling of 8282514240 in words is "eight billion, two hundred eighty-two million, five hundred fourteen thousand, two hundred forty".