2110005664 has 48 divisors (see below), whose sum is σ = 4627906920. Its totient is φ = 940262400.

The previous prime is 2110005661. The next prime is 2110005679. The reversal of 2110005664 is 4665000112.

It can be written as a sum of positive squares in 4 ways, for example, as 1528810000 + 581195664 = 39100^2 + 24108^2 .

It is a super-2 number, since 2×2110005664² = 8904247804224161792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2110005661) 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 7 ways as a sum of consecutive naturals, for example, 75387 + ... + 99514.

Almost surely, 2^2110005664 is an apocalyptic number.

It is an amenable number.

2110005664 is an abundant number, since it is smaller than the sum of its proper divisors (2517901256).

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

2110005664 is a wasteful number, since it uses less digits than its factorization.

2110005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174953 (or 174945 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2110005664 is about 45934.7979640708. The cubic root of 2110005664 is about 1282.6097600445.

Adding to 2110005664 its reverse (4665000112), we get a palindrome (6775005776).

The spelling of 2110005664 in words is "two billion, one hundred ten million, five thousand, six hundred sixty-four".