2085680880 has 160 divisors (see below), whose sum is σ = 7200878400. Its totient is φ = 554876928.

The previous prime is 2085680879. The next prime is 2085680903. The reversal of 2085680880 is 880865802.

2085680880 is a `hidden beast` number, since 2 + 0 + 8 + 568 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228192 + ... + 1229888.

It is an arithmetic number, because the mean of its divisors is an integer number (45005490).

Almost surely, 2^2085680880 is an apocalyptic number.

2085680880 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 2085680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600439200).

2085680880 is an abundant number, since it is smaller than the sum of its proper divisors (5115197520).

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

2085680880 is a wasteful number, since it uses less digits than its factorization.

2085680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 2085680880 is about 45669.2553037599. The cubic root of 2085680880 is about 1277.6619264901.

The spelling of 2085680880 in words is "two billion, eighty-five million, six hundred eighty thousand, eight hundred eighty".