2085122560 has 40 divisors (see below), whose sum is σ = 4999413276. Its totient is φ = 834048000.

The previous prime is 2085122551. The next prime is 2085122581. The reversal of 2085122560 is 652215802.

It can be written as a sum of positive squares in 2 ways, for example, as 2074984704 + 10137856 = 45552^2 + 3184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404691 + ... + 409810.

Almost surely, 2^2085122560 is an apocalyptic number.

2085122560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085122560 is an abundant number, since it is smaller than the sum of its proper divisors (2914290716).

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

2085122560 is an frugal number, since it uses more digits than its factorization.

2085122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814524 (or 814508 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 2085122560 is about 45663.1422484261. The cubic root of 2085122560 is about 1277.5479097079.

The spelling of 2085122560 in words is "two billion, eighty-five million, one hundred twenty-two thousand, five hundred sixty".