2208035514916 has 81 divisors (see below), whose sum is σ = 4941219664017. Its totient is φ = 860184420480.

The previous prime is 2208035514887. The next prime is 2208035514917. The reversal of 2208035514916 is 6194155308022.

The square root of 2208035514916 is 1485946.

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., 235471444516 + 1972564070400 = 485254^2 + 1404480^2 .

It is not an unprimeable number, because it can be changed into a prime (2208035514917) 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 26 ways as a sum of consecutive naturals, for example, 228830860 + ... + 228840508.

Almost surely, 2^{2208035514916} is an apocalyptic number.

2208035514916 is the 1485946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208035514916

2208035514916 is an abundant number, since it is smaller than the sum of its proper divisors (2733184149101).

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

2208035514916 is an frugal number, since it uses more digits than its factorization.

2208035514916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19338 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 2208035514916 in words is "two trillion, two hundred eight billion, thirty-five million, five hundred fourteen thousand, nine hundred sixteen".