8254278240 has 384 divisors, whose sum is σ = 29360185344. Its totient is φ = 1935360000.

The previous prime is 8254278229. The next prime is 8254278269. The reversal of 8254278240 is 428724528.

It is a junction number, because it is equal to n+sod(n) for n = 8254278192 and 8254278201.

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 63 ways as a sum of consecutive naturals, for example, 13733940 + ... + 13734540.

It is an arithmetic number, because the mean of its divisors is an integer number (76458816).

Almost surely, 2^8254278240 is an apocalyptic number.

8254278240 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 8254278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680092672).

8254278240 is an abundant number, since it is smaller than the sum of its proper divisors (21105907104).

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

8254278240 is a wasteful number, since it uses less digits than its factorization.

8254278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 8254278240 is about 90853.0585065797. The cubic root of 8254278240 is about 2020.9692306536.

The spelling of 8254278240 in words is "eight billion, two hundred fifty-four million, two hundred seventy-eight thousand, two hundred forty".