2133104064 has 336 divisors, whose sum is σ = 7180161408. Its totient is φ = 553900032.

The previous prime is 2133104009. The next prime is 2133104081. The reversal of 2133104064 is 4604013312.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13086447 + ... + 13086609.

It is an arithmetic number, because the mean of its divisors is an integer number (21369528).

Almost surely, 2^2133104064 is an apocalyptic number.

2133104064 is a gapful number since it is divisible by the number (24) 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 2133104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590080704).

2133104064 is an abundant number, since it is smaller than the sum of its proper divisors (5047057344).

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

2133104064 is a wasteful number, since it uses less digits than its factorization.

2133104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2133104064 is about 46185.5395551465. The cubic root of 2133104064 is about 1287.2730617580.

Adding to 2133104064 its reverse (4604013312), we get a palindrome (6737117376).

The spelling of 2133104064 in words is "two billion, one hundred thirty-three million, one hundred four thousand, sixty-four".