2316289248 has 288 divisors, whose sum is σ = 8371464192. Its totient is φ = 590976000.

The previous prime is 2316289237. The next prime is 2316289249. The reversal of 2316289248 is 8429826132.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316289249) 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 47 ways as a sum of consecutive naturals, for example, 811023 + ... + 813873.

It is an arithmetic number, because the mean of its divisors is an integer number (29067584).

Almost surely, 2^2316289248 is an apocalyptic number.

2316289248 is a gapful number since it is divisible by the number (28) 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 2316289248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185732096).

2316289248 is an abundant number, since it is smaller than the sum of its proper divisors (6055174944).

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

2316289248 is a wasteful number, since it uses less digits than its factorization.

2316289248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2907 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2316289248 is about 48127.8427524027. The cubic root of 2316289248 is about 1323.1150123771.

The spelling of 2316289248 in words is "two billion, three hundred sixteen million, two hundred eighty-nine thousand, two hundred forty-eight".