8102334240 has 1296 divisors, whose sum is σ = 38594143224. Its totient is φ = 1532805120.

The previous prime is 8102334239. The next prime is 8102334263. The reversal of 8102334240 is 424332018.

8102334240 is a `hidden beast` number, since 8 + 1 + 0 + 233 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5328416016 + 2773918224 = 72996^2 + 52668^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 110990844 + ... + 110990916.

Almost surely, 2^8102334240 is an apocalyptic number.

8102334240 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 8102334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297071612).

8102334240 is an abundant number, since it is smaller than the sum of its proper divisors (30491808984).

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

8102334240 is a wasteful number, since it uses less digits than its factorization.

8102334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8102334240 is about 90012.9670658622. The cubic root of 8102334240 is about 2008.4917474181.

Adding to 8102334240 its reverse (424332018), we get a palindrome (8526666258).

The spelling of 8102334240 in words is "eight billion, one hundred two million, three hundred thirty-four thousand, two hundred forty".