2133553312 has 72 divisors (see below), whose sum is σ = 4888744308. Its totient is φ = 912721920.

The previous prime is 2133553307. The next prime is 2133553313.

2133553312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1825340176 + 308213136 = 42724^2 + 17556^2 .

It is not an unprimeable number, because it can be changed into a prime (2133553313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49618 + ... + 82030.

Almost surely, 2^2133553312 is an apocalyptic number.

2133553312 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 2133553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444372154).

2133553312 is an abundant number, since it is smaller than the sum of its proper divisors (2755190996).

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

2133553312 is a wasteful number, since it uses less digits than its factorization.

2133553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32462 (or 32443 counting only the distinct ones).

The product of its digits is 8100, while the sum is 28.

The square root of 2133553312 is about 46190.4028127056. The cubic root of 2133553312 is about 1287.3634252591.

It can be divided in two parts, 21335 and 53312, that added together give a palindrome (74647).

The spelling of 2133553312 in words is "two billion, one hundred thirty-three million, five hundred fifty-three thousand, three hundred twelve".