2133333312 has 224 divisors, whose sum is σ = 6349739904. Its totient is φ = 626688000.

The previous prime is 2133333311. The next prime is 2133333341.

2133333312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2133333312² = 9102222040177778688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133333311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15571708 + ... + 15571844.

Almost surely, 2^2133333312 is an apocalyptic number.

2133333312 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 2133333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174869952).

2133333312 is an abundant number, since it is smaller than the sum of its proper divisors (4216406592).

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

2133333312 is a wasteful number, since it uses less digits than its factorization.

2133333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its digits is 2916, while the sum is 24.

The square root of 2133333312 is about 46188.0213042300. The cubic root of 2133333312 is about 1287.3191751831.

2133333312 divided by its sum of digits (24) gives a palindrome (88888888).

It can be divided in two parts, 21333 and 33312, that added together give a palindrome (54645).

The spelling of 2133333312 in words is "two billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred twelve".