2198105585 has 16 divisors (see below), whose sum is σ = 2844208080. Its totient is φ = 1621171200.

The previous prime is 2198105531. The next prime is 2198105599. The reversal of 2198105585 is 5855018912.

It can be written as a sum of positive squares in 8 ways, for example, as 352200289 + 1845905296 = 18767^2 + 42964^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2198105585 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31685 + ... + 73485.

It is an arithmetic number, because the mean of its divisors is an integer number (177763005).

Almost surely, 2^2198105585 is an apocalyptic number.

It is an amenable number.

2198105585 is a deficient number, since it is larger than the sum of its proper divisors (646102495).

2198105585 is a wasteful number, since it uses less digits than its factorization.

2198105585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42628.

The product of its (nonzero) digits is 144000, while the sum is 44.

The square root of 2198105585 is about 46883.9587172414. The cubic root of 2198105585 is about 1300.2180275344.

The spelling of 2198105585 in words is "two billion, one hundred ninety-eight million, one hundred five thousand, five hundred eighty-five".