2085583400 has 48 divisors (see below), whose sum is σ = 4857127740. Its totient is φ = 832832000.

The previous prime is 2085583399. The next prime is 2085583421. The reversal of 2085583400 is 43855802.

It can be written as a sum of positive squares in 6 ways, for example, as 909504964 + 1176078436 = 30158^2 + 34294^2 .

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 11 ways as a sum of consecutive naturals, for example, 114950 + ... + 131850.

Almost surely, 2^2085583400 is an apocalyptic number.

2085583400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085583400 is an abundant number, since it is smaller than the sum of its proper divisors (2771544340).

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

2085583400 is a wasteful number, since it uses less digits than its factorization.

2085583400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 2085583400 is about 45668.1880525164. The cubic root of 2085583400 is about 1277.6420211719.

The spelling of 2085583400 in words is "two billion, eighty-five million, five hundred eighty-three thousand, four hundred".