2133216000 has 360 divisors, whose sum is σ = 7948004064. Its totient is φ = 568166400.

The previous prime is 2133215971. The next prime is 2133216031. The reversal of 2133216000 is 6123312.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2133216000² = 9101221005312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591589 + ... + 2592411.

Almost surely, 2^2133216000 is an apocalyptic number.

2133216000 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 2133216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974002032).

2133216000 is an abundant number, since it is smaller than the sum of its proper divisors (5814788064).

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

2133216000 is an frugal number, since it uses more digits than its factorization.

2133216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2133216000 is about 46186.7513471125. The cubic root of 2133216000 is about 1287.2955781899.

Adding to 2133216000 its reverse (6123312), we get a palindrome (2139339312).

The spelling of 2133216000 in words is "two billion, one hundred thirty-three million, two hundred sixteen thousand".