2085384444 has 192 divisors, whose sum is σ = 6069288960. Its totient is φ = 547879680.

The previous prime is 2085384437. The next prime is 2085384451. The reversal of 2085384444 is 4444835802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2085384437) and next prime (2085384451).

It is a junction number, because it is equal to n+sod(n) for n = 2085384396 and 2085384405.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5444677 + ... + 5445059.

It is an arithmetic number, because the mean of its divisors is an integer number (31610880).

Almost surely, 2^2085384444 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 2085384444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034644480).

2085384444 is an abundant number, since it is smaller than the sum of its proper divisors (3983904516).

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

2085384444 is a wasteful number, since it uses less digits than its factorization.

2085384444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The square root of 2085384444 is about 45666.0097227686. The cubic root of 2085384444 is about 1277.6013926313.

The spelling of 2085384444 in words is "two billion, eighty-five million, three hundred eighty-four thousand, four hundred forty-four".