2312464768 has 64 divisors (see below), whose sum is σ = 4888166400. Its totient is φ = 1086607872.

The previous prime is 2312464753. The next prime is 2312464769. The reversal of 2312464768 is 8674642132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312464769) 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 7 ways as a sum of consecutive naturals, for example, 305121 + ... + 312607.

It is an arithmetic number, because the mean of its divisors is an integer number (76377600).

Almost surely, 2^2312464768 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 2312464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444083200).

2312464768 is an abundant number, since it is smaller than the sum of its proper divisors (2575701632).

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

2312464768 is a wasteful number, since it uses less digits than its factorization.

2312464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7635 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 2312464768 is about 48088.0938278905. The cubic root of 2312464768 is about 1322.3864023839.

The spelling of 2312464768 in words is "two billion, three hundred twelve million, four hundred sixty-four thousand, seven hundred sixty-eight".