8312466240 has 392 divisors, whose sum is σ = 31972060008. Its totient is φ = 2045399040.

The previous prime is 8312466223. The next prime is 8312466241. The reversal of 8312466240 is 426642138.

8312466240 is a `hidden beast` number, since 8 + 3 + 1 + 24 + 6 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 8308687104 = 1944^2 + 91152^2 .

It is a super-2 number, since 2×8312466240² (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 = 8312466195 and 8312466204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8312466241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3031270 + ... + 3034010.

Almost surely, 2^8312466240 is an apocalyptic number.

8312466240 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 8312466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986030004).

8312466240 is an abundant number, since it is smaller than the sum of its proper divisors (23659593768).

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

8312466240 is a wasteful number, since it uses less digits than its factorization.

8312466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8312466240 is about 91172.7275011557. The cubic root of 8312466240 is about 2025.7070123829.

It can be divided in two parts, 8312 and 466240, that added together give a cube (474552 = 78³).

The spelling of 8312466240 in words is "eight billion, three hundred twelve million, four hundred sixty-six thousand, two hundred forty".