2085185880 has 96 divisors (see below), whose sum is σ = 6789884400. Its totient is φ = 554980608.

The previous prime is 2085185867. The next prime is 2085185887. The reversal of 2085185880 is 885815802.

2085185880 is a `hidden beast` number, since 2 + 0 + 8 + 518 + 58 + 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 not an unprimeable number, because it can be changed into a prime (2085185887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191626 + ... + 202214.

Almost surely, 2^2085185880 is an apocalyptic number.

2085185880 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 2085185880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394942200).

2085185880 is an abundant number, since it is smaller than the sum of its proper divisors (4704698520).

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

2085185880 is a wasteful number, since it uses less digits than its factorization.

2085185880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 2085185880 is about 45663.8355813438. The cubic root of 2085185880 is about 1277.5608415640.

The spelling of 2085185880 in words is "two billion, eighty-five million, one hundred eighty-five thousand, eight hundred eighty".