2085056505 has 64 divisors (see below), whose sum is σ = 4250695680. Its totient is φ = 949931712.

The previous prime is 2085056473. The next prime is 2085056507. The reversal of 2085056505 is 5056505802.

2085056505 is a `hidden beast` number, since 20 + 85 + 0 + 56 + 505 = 666.

It is not a de Polignac number, because 2085056505 - 2⁵ = 2085056473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2085056505.

It is not an unprimeable number, because it can be changed into a prime (2085056507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286522 + ... + 293708.

It is an arithmetic number, because the mean of its divisors is an integer number (66417120).

Almost surely, 2^2085056505 is an apocalyptic number.

It is an amenable number.

2085056505 is an abundant number, since it is smaller than the sum of its proper divisors (2165639175).

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

2085056505 is a wasteful number, since it uses less digits than its factorization.

2085056505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 2085056505 is about 45662.4189569497. The cubic root of 2085056505 is about 1277.5344190031.

The spelling of 2085056505 in words is "two billion, eighty-five million, fifty-six thousand, five hundred five".