2085038550 has 384 divisors, whose sum is σ = 7019550720. Its totient is φ = 444787200.

The previous prime is 2085038539. The next prime is 2085038551. The reversal of 2085038550 is 558305802.

2085038550 is a `hidden beast` number, since 20 + 8 + 50 + 38 + 550 = 666.

2085038550 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2085038550² = 8694771509972205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085038551) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 11519460 + ... + 11519640.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^2085038550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085038550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509775360).

2085038550 is an abundant number, since it is smaller than the sum of its proper divisors (4934512170).

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

2085038550 is a wasteful number, since it uses less digits than its factorization.

2085038550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2085038550 is about 45662.2223506478. Note that the first 3 decimals coincide. The cubic root of 2085038550 is about 1277.5307519248.

The spelling of 2085038550 in words is "two billion, eighty-five million, thirty-eight thousand, five hundred fifty".