2627997696 has 195 divisors, whose sum is σ = 7939790221. Its totient is φ = 866156544.

The previous prime is 2627997667. The next prime is 2627997707. The reversal of 2627997696 is 6967997262.

The square root of 2627997696 is 51264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 504631296 + 2123366400 = 22464^2 + 46080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29528020 + ... + 29528108.

Almost surely, 2^2627997696 is an apocalyptic number.

2627997696 is the 51264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627997696

2627997696 is an abundant number, since it is smaller than the sum of its proper divisors (5311792525).

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

2627997696 is an frugal number, since it uses more digits than its factorization.

2627997696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 94 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The cubic root of 2627997696 is about 1379.9869942063.

The spelling of 2627997696 in words is "two billion, six hundred twenty-seven million, nine hundred ninety-seven thousand, six hundred ninety-six".