2085949080 has 192 divisors, whose sum is σ = 7030483200. Its totient is φ = 535818240.

The previous prime is 2085949069. The next prime is 2085949157. The reversal of 2085949080 is 809495802.

2085949080 is a `hidden beast` number, since 2 + 0 + 85 + 9 + 490 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4564212 + ... + 4564668.

It is an arithmetic number, because the mean of its divisors is an integer number (36617100).

Almost surely, 2^2085949080 is an apocalyptic number.

2085949080 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 2085949080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515241600).

2085949080 is an abundant number, since it is smaller than the sum of its proper divisors (4944534120).

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

2085949080 is a wasteful number, since it uses less digits than its factorization.

2085949080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2085949080 is about 45672.1915392726. The cubic root of 2085949080 is about 1277.7166894607.

The spelling of 2085949080 in words is "two billion, eighty-five million, nine hundred forty-nine thousand, eighty".