8244234240 has 384 divisors, whose sum is σ = 29738741760. Its totient is φ = 1931673600.

The previous prime is 8244234239. The next prime is 8244234247. The reversal of 8244234240 is 424324428.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8244234247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10475127 + ... + 10475913.

It is an arithmetic number, because the mean of its divisors is an integer number (77444640).

Almost surely, 2^8244234240 is an apocalyptic number.

8244234240 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 8244234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869370880).

8244234240 is an abundant number, since it is smaller than the sum of its proper divisors (21494507520).

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

8244234240 is a wasteful number, since it uses less digits than its factorization.

8244234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 8244234240 is about 90797.7656112748. The cubic root of 8244234240 is about 2020.1491769711.

Adding to 8244234240 its reverse (424324428), we get a palindrome (8668558668).

The spelling of 8244234240 in words is "eight billion, two hundred forty-four million, two hundred thirty-four thousand, two hundred forty".