2085667848 has 384 divisors, whose sum is σ = 7116595200. Its totient is φ = 543283200.

The previous prime is 2085667847. The next prime is 2085667891. The reversal of 2085667848 is 8487665802.

2085667848 is a `hidden beast` number, since 2 + 0 + 8 + 566 + 78 + 4 + 8 = 666.

It is a super-2 number, since 2×2085667848² = 8700020744361902208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2085667794 and 2085667803.

It is not an unprimeable number, because it can be changed into a prime (2085667847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7930165 + ... + 7930427.

It is an arithmetic number, because the mean of its divisors is an integer number (18532800).

Almost surely, 2^2085667848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085667848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558297600).

2085667848 is an abundant number, since it is smaller than the sum of its proper divisors (5030927352).

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

2085667848 is a wasteful number, since it uses less digits than its factorization.

2085667848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2085667848 is about 45669.1126254934. The cubic root of 2085667848 is about 1277.6592654047.

The spelling of 2085667848 in words is "two billion, eighty-five million, six hundred sixty-seven thousand, eight hundred forty-eight".