2085229580265 has 320 divisors, whose sum is σ = 4462857907200. Its totient is φ = 921536372736.

The previous prime is 2085229580237. The next prime is 2085229580279. The reversal of 2085229580265 is 5620859225802.

2085229580265 is a `hidden beast` number, since 2 + 0 + 8 + 52 + 2 + 9 + 580 + 2 + 6 + 5 = 666.

It is not a de Polignac number, because 2085229580265 - 2¹³ = 2085229572073 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 215433696 + ... + 215443374.

It is an arithmetic number, because the mean of its divisors is an integer number (13946430960).

Almost surely, 2^{2085229580265} is an apocalyptic number.

It is an amenable number.

2085229580265 is an abundant number, since it is smaller than the sum of its proper divisors (2377628326935).

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

2085229580265 is a wasteful number, since it uses less digits than its factorization.

2085229580265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 2085229580265 in words is "two trillion, eighty-five billion, two hundred twenty-nine million, five hundred eighty thousand, two hundred sixty-five".