2133820513600 has 42 divisors (see below), whose sum is σ = 5250532105214. Its totient is φ = 853528204800.

The previous prime is 2133820513511. The next prime is 2133820513603. The reversal of 2133820513600 is 63150283312.

It can be written as a sum of positive squares in 3 ways, for example, as 722989682944 + 1410830830656 = 850288^2 + 1187784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133820513603) by changing a digit.

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, 666817311 + ... + 666820510.

Almost surely, 2^{2133820513600} is an apocalyptic number.

2133820513600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133820513600 is an abundant number, since it is smaller than the sum of its proper divisors (3116711591614).

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

2133820513600 is a wasteful number, since it uses less digits than its factorization.

2133820513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637843 (or 1333637828 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 2133820513600 its reverse (63150283312), we get a palindrome (2196970796912).

The spelling of 2133820513600 in words is "two trillion, one hundred thirty-three billion, eight hundred twenty million, five hundred thirteen thousand, six hundred".