1330002000 has 240 divisors, whose sum is σ = 4773190032. Its totient is φ = 344908800.

The previous prime is 1330001999. The next prime is 1330002053. The reversal of 1330002000 is 2000331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 540841536 + 789160464 = 23256^2 + 28092^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 665002 + ... + 666998.

Almost surely, 2^1330002000 is an apocalyptic number.

1330002000 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 1330002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386595016).

1330002000 is an abundant number, since it is smaller than the sum of its proper divisors (3443188032).

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

1330002000 is a wasteful number, since it uses less digits than its factorization.

1330002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1330002000 is about 36469.1924780355. The cubic root of 1330002000 is about 1099.7250001263.

Adding to 1330002000 its reverse (2000331), we get a palindrome (1332002331).

The spelling of 1330002000 in words is "one billion, three hundred thirty million, two thousand".