2085827418 has 48 divisors (see below), whose sum is σ = 4663747296. Its totient is φ = 673233120.

The previous prime is 2085827389. The next prime is 2085827431. The reversal of 2085827418 is 8147285802.

It is a happy number.

2085827418 is a `hidden beast` number, since 20 + 8 + 582 + 7 + 41 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 133105 + ... + 147947.

It is an arithmetic number, because the mean of its divisors is an integer number (97161402).

Almost surely, 2^2085827418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085827418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331873648).

2085827418 is an abundant number, since it is smaller than the sum of its proper divisors (2577919878).

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

2085827418 is a wasteful number, since it uses less digits than its factorization.

2085827418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15099 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2085827418 is about 45670.8596152952. The cubic root of 2085827418 is about 1277.6918482359.

It can be divided in two parts, 208582 and 7418, that added together give a cube (216000 = 60³).

The spelling of 2085827418 in words is "two billion, eighty-five million, eight hundred twenty-seven thousand, four hundred eighteen".