2716464816 has 320 divisors, whose sum is σ = 9143164800. Its totient is φ = 764411904.

The previous prime is 2716464811. The next prime is 2716464847. The reversal of 2716464816 is 6184646172.

2716464816 is a `hidden beast` number, since 2 + 7 + 164 + 6 + 481 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2716464811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3532080 + ... + 3532848.

It is an arithmetic number, because the mean of its divisors is an integer number (28572390).

Almost surely, 2^2716464816 is an apocalyptic number.

2716464816 is a gapful number since it is divisible by the number (26) 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 2716464816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571582400).

2716464816 is an abundant number, since it is smaller than the sum of its proper divisors (6426699984).

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

2716464816 is a wasteful number, since it uses less digits than its factorization.

2716464816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

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

The square root of 2716464816 is about 52119.7161926271. The cubic root of 2716464816 is about 1395.3013940064.

The spelling of 2716464816 in words is "two billion, seven hundred sixteen million, four hundred sixty-four thousand, eight hundred sixteen".