2121965585 has 8 divisors (see below), whose sum is σ = 2696144616. Its totient is φ = 1597715200.

The previous prime is 2121965567. The next prime is 2121965597. The reversal of 2121965585 is 5855691212.

It can be written as a sum of positive squares in 4 ways, for example, as 307546369 + 1814419216 = 17537^2 + 42596^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2121965585 - 2¹⁴ = 2121949201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12482066 + ... + 12482235.

It is an arithmetic number, because the mean of its divisors is an integer number (337018077).

Almost surely, 2^2121965585 is an apocalyptic number.

It is an amenable number.

2121965585 is a deficient number, since it is larger than the sum of its proper divisors (574179031).

2121965585 is a wasteful number, since it uses less digits than its factorization.

2121965585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24964323.

The product of its digits is 216000, while the sum is 44.

The square root of 2121965585 is about 46064.7976767510. The cubic root of 2121965585 is about 1285.0285559421.

The spelling of 2121965585 in words is "two billion, one hundred twenty-one million, nine hundred sixty-five thousand, five hundred eighty-five".