2133331002 has 96 divisors (see below), whose sum is σ = 5237369280. Its totient is φ = 621653760.

The previous prime is 2133330971. The next prime is 2133331009. The reversal of 2133331002 is 2001333312.

2133331002 is a `hidden beast` number, since 21 + 333 + 310 + 0 + 2 = 666.

It is a super-2 number, since 2×2133331002² = 9102202328188648008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2133331009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1796653 + ... + 1797839.

It is an arithmetic number, because the mean of its divisors is an integer number (54555930).

Almost surely, 2^2133331002 is an apocalyptic number.

2133331002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133331002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618684640).

2133331002 is an abundant number, since it is smaller than the sum of its proper divisors (3104038278).

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

2133331002 is a wasteful number, since it uses less digits than its factorization.

2133331002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2133331002 is about 46187.9962977395. The cubic root of 2133331002 is about 1287.3187105412.

Adding to 2133331002 its reverse (2001333312), we get a palindrome (4134664314).

The spelling of 2133331002 in words is "two billion, one hundred thirty-three million, three hundred thirty-one thousand, two".