2085038100 has 108 divisors (see below), whose sum is σ = 6919924284. Its totient is φ = 523299840.

The previous prime is 2085038089. The next prime is 2085038107. The reversal of 2085038100 is 18305802.

It is a happy number.

2085038100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 55175184 + 2029862916 = 7428^2 + 45054^2 .

It is a super-2 number, since 2×2085038100² = 8694767756903220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085038107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52839 + ... + 83438.

It is an arithmetic number, because the mean of its divisors is an integer number (64073373).

Almost surely, 2^2085038100 is an apocalyptic number.

2085038100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085038100 is an abundant number, since it is smaller than the sum of its proper divisors (4834886184).

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

2085038100 is a wasteful number, since it uses less digits than its factorization.

2085038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136314 (or 136304 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2085038100 is about 45662.2174231607. The cubic root of 2085038100 is about 1277.5306600179.

The spelling of 2085038100 in words is "two billion, eighty-five million, thirty-eight thousand, one hundred".