2085159960 has 192 divisors, whose sum is σ = 7476749280. Its totient is φ = 500705280.

The previous prime is 2085159953. The next prime is 2085160003. The reversal of 2085159960 is 699515802.

2085159960 is a `hidden beast` number, since 2 + 0 + 8 + 51 + 599 + 6 + 0 = 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186447 + ... + 197313.

Almost surely, 2^2085159960 is an apocalyptic number.

2085159960 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 2085159960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738374640).

2085159960 is an abundant number, since it is smaller than the sum of its proper divisors (5391589320).

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

2085159960 is a wasteful number, since it uses less digits than its factorization.

2085159960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 2085159960 is about 45663.5517672465. The cubic root of 2085159960 is about 1277.5555479489. Note that the first 4 decimals are identical.

The spelling of 2085159960 in words is "two billion, eighty-five million, one hundred fifty-nine thousand, nine hundred sixty".