2085748900 has 27 divisors (see below), whose sum is σ = 4527066369. Its totient is φ = 834116880.

The previous prime is 2085748871. The next prime is 2085748949. The reversal of 2085748900 is 98475802.

The square root of 2085748900 is 45670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 750869604 + 1334879296 = 27402^2 + 36536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 454417 + ... + 458983.

Almost surely, 2^2085748900 is an apocalyptic number.

2085748900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2085748900 is the 45670-th square number.

It is an amenable number.

2085748900 is an abundant number, since it is smaller than the sum of its proper divisors (2441317469).

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

2085748900 is an frugal number, since it uses more digits than its factorization.

2085748900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The cubic root of 2085748900 is about 1277.6758157386.

The spelling of 2085748900 in words is "two billion, eighty-five million, seven hundred forty-eight thousand, nine hundred".