2083009600 has 189 divisors, whose sum is σ = 5999125797. Its totient is φ = 709793280.

The previous prime is 2083009561. The next prime is 2083009613. The reversal of 2083009600 is 69003802.

The square root of 2083009600 is 45640.

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., 749883456 + 1333126144 = 27384^2 + 36512^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 26 ways as a sum of consecutive naturals, for example, 12779119 + ... + 12779281.

Almost surely, 2^2083009600 is an apocalyptic number.

2083009600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2083009600 is the 45640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083009600

2083009600 is an abundant number, since it is smaller than the sum of its proper divisors (3916116197).

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

2083009600 is an equidigital number, since it uses as much as digits as its factorization.

2083009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 2083009600 is about 1277.1162292538.

The spelling of 2083009600 in words is "two billion, eighty-three million, nine thousand, six hundred".