2716486416 has 320 divisors, whose sum is σ = 9199411200. Its totient is φ = 751555584.

The previous prime is 2716486351. The next prime is 2716486417. The reversal of 2716486416 is 6146846172.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2716486417) 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 63 ways as a sum of consecutive naturals, for example, 19828300 + ... + 19828436.

It is an arithmetic number, because the mean of its divisors is an integer number (28748160).

Almost surely, 2^2716486416 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 2716486416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599705600).

2716486416 is an abundant number, since it is smaller than the sum of its proper divisors (6482924784).

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

2716486416 is a wasteful number, since it uses less digits than its factorization.

2716486416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

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

The square root of 2716486416 is about 52119.9234074648. The cubic root of 2716486416 is about 1395.3050922481.

The spelling of 2716486416 in words is "two billion, seven hundred sixteen million, four hundred eighty-six thousand, four hundred sixteen".