2133663312 has 160 divisors (see below), whose sum is σ = 6225494400. Its totient is φ = 624015360.

The previous prime is 2133663299. The next prime is 2133663341.

2133663312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2133663312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2910498 + ... + 2911230.

It is an arithmetic number, because the mean of its divisors is an integer number (38909340).

Almost surely, 2^2133663312 is an apocalyptic number.

2133663312 is a gapful number since it is divisible by the number (22) 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 2133663312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112747200).

2133663312 is an abundant number, since it is smaller than the sum of its proper divisors (4091831088).

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

2133663312 is a wasteful number, since it uses less digits than its factorization.

2133663312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 2133663312 is about 46191.5935208994. The cubic root of 2133663312 is about 1287.3855491565.

It can be divided in two parts, 21336 and 63312, that added together give a palindrome (84648).

The spelling of 2133663312 in words is "two billion, one hundred thirty-three million, six hundred sixty-three thousand, three hundred twelve".