2147516416 has 32 divisors (see below), whose sum is σ = 4295032830. Its totient is φ = 1073741824.

The previous prime is 2147516389. The next prime is 2147516419. The reversal of 2147516416 is 6146157412.

2147516416 is a nontrivial binomial coefficient, being equal to C(65537, 2).

It can be written as a sum of positive squares in only one way, i.e., 1082146816 + 1065369600 = 32896^2 + 32640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2147516416² = 9223653513978970112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147516419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 2147516416 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1 + ... + 65536.

Almost surely, 2^2147516416 is an apocalyptic number.

2147516416 is the 65536-th triangular number.

2147516416 is the 21846-th centered nonagonal number.

It is an amenable number.

2147516416 is a deficient number, since it is larger than the sum of its proper divisors (2147516414).

2147516416 is an frugal number, since it uses more digits than its factorization.

2147516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65567 (or 65539 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 2147516416 is about 46341.3035638835. The cubic root of 2147516416 is about 1290.1657171478.

The spelling of 2147516416 in words is "two billion, one hundred forty-seven million, five hundred sixteen thousand, four hundred sixteen".