2133312234400 has 36 divisors (see below), whose sum is σ = 5207948494182. Its totient is φ = 853324893440.

The previous prime is 2133312234299. The next prime is 2133312234433. The reversal of 2133312234400 is 44322133312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1523220019344 + 610092215056 = 1234188^2 + 781084^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1333319347 + ... + 1333320946.

Almost surely, 2^{2133312234400} is an apocalyptic number.

2133312234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133312234400 is an abundant number, since it is smaller than the sum of its proper divisors (3074636259782).

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

2133312234400 is a wasteful number, since it uses less digits than its factorization.

2133312234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666640313 (or 2666640300 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2133312234400 its reverse (44322133312), we get a palindrome (2177634367712).

The spelling of 2133312234400 in words is "two trillion, one hundred thirty-three billion, three hundred twelve million, two hundred thirty-four thousand, four hundred".