2085255680 has 80 divisors (see below), whose sum is σ = 5022970920. Its totient is φ = 830226432.

The previous prime is 2085255677. The next prime is 2085255709. The reversal of 2085255680 is 865525802.

It can be written as a sum of positive squares in 4 ways, for example, as 1742561536 + 342694144 = 41744^2 + 18512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584462 + ... + 588018.

Almost surely, 2^2085255680 is an apocalyptic number.

2085255680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511485460).

2085255680 is an abundant number, since it is smaller than the sum of its proper divisors (2937715240).

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

2085255680 is an equidigital number, since it uses as much as digits as its factorization.

2085255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The square root of 2085255680 is about 45664.5998559059. The cubic root of 2085255680 is about 1277.5750965284.

The spelling of 2085255680 in words is "two billion, eighty-five million, two hundred fifty-five thousand, six hundred eighty".