2104006564 has 36 divisors (see below), whose sum is σ = 4285255212. Its totient is φ = 900106240.

The previous prime is 2104006537. The next prime is 2104006573. The reversal of 2104006564 is 4656004012.

2104006564 = 357² + 358² + ... + 1852².

It can be written as a sum of positive squares in 2 ways, for example, as 1859334400 + 244672164 = 43120^2 + 15642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119629 + ... + 136084.

It is an arithmetic number, because the mean of its divisors is an integer number (119034867).

Almost surely, 2^2104006564 is an apocalyptic number.

It is an amenable number.

2104006564 is an abundant number, since it is smaller than the sum of its proper divisors (2181248648).

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

2104006564 is a wasteful number, since it uses less digits than its factorization.

2104006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255756 (or 255743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2104006564 is about 45869.4513156632. The cubic root of 2104006564 is about 1281.3930479857.

The spelling of 2104006564 in words is "two billion, one hundred four million, six thousand, five hundred sixty-four".