2314248768 has 168 divisors, whose sum is σ = 7337585528. Its totient is φ = 692748288.

The previous prime is 2314248767. The next prime is 2314248787. The reversal of 2314248768 is 8678424132.

It is a happy number.

2314248768 is a `hidden beast` number, since 23 + 142 + 487 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 544195584 + 1770053184 = 23328^2 + 42072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314248767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272880 + ... + 281232.

Almost surely, 2^2314248768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668792764).

2314248768 is an abundant number, since it is smaller than the sum of its proper divisors (5023336760).

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

2314248768 is a wasteful number, since it uses less digits than its factorization.

2314248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8408 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2314248768 is about 48106.6395417514. The cubic root of 2314248768 is about 1322.7263759863.

The spelling of 2314248768 in words is "two billion, three hundred fourteen million, two hundred forty-eight thousand, seven hundred sixty-eight".