1002730000 has 100 divisors (see below), whose sum is σ = 2444826780. Its totient is φ = 398272000.

The previous prime is 1002729991. The next prime is 1002730019. The reversal of 1002730000 is 372001.

It can be written as a sum of positive squares in 10 ways, for example, as 299843856 + 702886144 = 17316^2 + 26512^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1969746 + ... + 1970254.

Almost surely, 2^1002730000 is an apocalyptic number.

1002730000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222413390).

1002730000 is an abundant number, since it is smaller than the sum of its proper divisors (1442096780).

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

1002730000 is an equidigital number, since it uses as much as digits as its factorization.

1002730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 1002730000 is about 31665.9122717158. The cubic root of 1002730000 is about 1000.9091731537.

The spelling of 1002730000 in words is "one billion, two million, seven hundred thirty thousand".