2133345600 has 588 divisors, whose sum is σ = 8262030720. Its totient is φ = 541209600.

The previous prime is 2133345583. The next prime is 2133345601. The reversal of 2133345600 is 65433312.

It is a happy number.

2133345600 is a `hidden beast` number, since 2 + 13 + 3 + 3 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133345601) 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 83 ways as a sum of consecutive naturals, for example, 36158371 + ... + 36158429.

Almost surely, 2^2133345600 is an apocalyptic number.

2133345600 is a gapful number since it is divisible by the number (20) 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 2133345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131015360).

2133345600 is an abundant number, since it is smaller than the sum of its proper divisors (6128685120).

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

2133345600 is an equidigital number, since it uses as much as digits as its factorization.

2133345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2133345600 is about 46188.1543255411. The cubic root of 2133345600 is about 1287.3216468312.

Adding to 2133345600 its reverse (65433312), we get a palindrome (2198778912).

The spelling of 2133345600 in words is "two billion, one hundred thirty-three million, three hundred forty-five thousand, six hundred".