2814306768 has 400 divisors, whose sum is σ = 10250732800. Its totient is φ = 740710656.

The previous prime is 2814306767. The next prime is 2814306779. The reversal of 2814306768 is 8676034182.

2814306768 is a `hidden beast` number, since 281 + 4 + 306 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814306767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5778621 + ... + 5779107.

It is an arithmetic number, because the mean of its divisors is an integer number (25626832).

Almost surely, 2^2814306768 is an apocalyptic number.

2814306768 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 2814306768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125366400).

2814306768 is an abundant number, since it is smaller than the sum of its proper divisors (7436426032).

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

2814306768 is a wasteful number, since it uses less digits than its factorization.

2814306768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2814306768 is about 53050.0402261864. The cubic root of 2814306768 is about 1411.8562424030.

The spelling of 2814306768 in words is "two billion, eight hundred fourteen million, three hundred six thousand, seven hundred sixty-eight".