8042250240 has 408 divisors, whose sum is σ = 29198424528. Its totient is φ = 2123366400.

The previous prime is 8042250239. The next prime is 8042250247. The reversal of 8042250240 is 420522408.

It is a happy number.

8042250240 is a `hidden beast` number, since 80 + 42 + 2 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8042250247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79626190 + ... + 79626290.

It is an arithmetic number, because the mean of its divisors is an integer number (71564766).

Almost surely, 2^8042250240 is an apocalyptic number.

8042250240 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 8042250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599212264).

8042250240 is an abundant number, since it is smaller than the sum of its proper divisors (21156174288).

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

8042250240 is an frugal number, since it uses more digits than its factorization.

8042250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 8042250240 is about 89678.5941013796. The cubic root of 8042250240 is about 2003.5146732513.

Adding to 8042250240 its reverse (420522408), we get a palindrome (8462772648).

The spelling of 8042250240 in words is "eight billion, forty-two million, two hundred fifty thousand, two hundred forty".