2468112768 has 640 divisors, whose sum is σ = 9063964800. Its totient is φ = 656916480.

The previous prime is 2468112763. The next prime is 2468112781. The reversal of 2468112768 is 8672118642.

2468112768 is a `hidden beast` number, since 2 + 468 + 1 + 127 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468112761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36837471 + ... + 36837537.

It is an arithmetic number, because the mean of its divisors is an integer number (14162445).

Almost surely, 2^2468112768 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 2468112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531982400).

2468112768 is an abundant number, since it is smaller than the sum of its proper divisors (6595852032).

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

2468112768 is a wasteful number, since it uses less digits than its factorization.

2468112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2468112768 is about 49680.1043477165. The cubic root of 2468112768 is about 1351.4137486053.

The spelling of 2468112768 in words is "two billion, four hundred sixty-eight million, one hundred twelve thousand, seven hundred sixty-eight".