8259402240 has 240 divisors, whose sum is σ = 28821592800. Its totient is φ = 2185814016.

The previous prime is 8259402223. The next prime is 8259402251. The reversal of 8259402240 is 422049528.

8259402240 is a `hidden beast` number, since 8 + 2 + 5 + 9 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 8259402195 and 8259402204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3201271 + ... + 3203849.

It is an arithmetic number, because the mean of its divisors is an integer number (120089970).

Almost surely, 2^8259402240 is an apocalyptic number.

8259402240 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 8259402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410796400).

8259402240 is an abundant number, since it is smaller than the sum of its proper divisors (20562190560).

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

8259402240 is a wasteful number, since it uses less digits than its factorization.

8259402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8259402240 is about 90881.2535124819. The cubic root of 8259402240 is about 2021.3873291635.

The spelling of 8259402240 in words is "eight billion, two hundred fifty-nine million, four hundred two thousand, two hundred forty".