8249610240 has 260 divisors, whose sum is σ = 29578716684. Its totient is φ = 2199453696.

The previous prime is 8249610211. The next prime is 8249610253. The reversal of 8249610240 is 420169428.

It can be written as a sum of positive squares in 2 ways, for example, as 4161798144 + 4087812096 = 64512^2 + 63936^2 .

It is a super-2 number, since 2×8249610240² (a number of 21 digits) contains 22 as substring.

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 = 8249610195 and 8249610204.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1656394 + ... + 1661366.

Almost surely, 2^8249610240 is an apocalyptic number.

8249610240 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 8249610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789358342).

8249610240 is an abundant number, since it is smaller than the sum of its proper divisors (21329106444).

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

8249610240 is an equidigital number, since it uses as much as digits as its factorization.

8249610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8249610240 is about 90827.3650393977. The cubic root of 8249610240 is about 2020.5881893310.

Adding to 8249610240 its reverse (420169428), we get a palindrome (8669779668).

The spelling of 8249610240 in words is "eight billion, two hundred forty-nine million, six hundred ten thousand, two hundred forty".