2133216864 has 192 divisors, whose sum is σ = 6370721280. Its totient is φ = 694310400.

The previous prime is 2133216863. The next prime is 2133216941. The reversal of 2133216864 is 4686123312.

2133216864 is a `hidden beast` number, since 213 + 321 + 68 + 64 = 666.

2133216864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2133216864² = 9101228377707988992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133216863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10828414 + ... + 10828610.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 2^2133216864 is an apocalyptic number.

2133216864 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 2133216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185360640).

2133216864 is an abundant number, since it is smaller than the sum of its proper divisors (4237504416).

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

2133216864 is a wasteful number, since it uses less digits than its factorization.

2133216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2133216864 is about 46186.7607004432. The cubic root of 2133216864 is about 1287.2957519843.

The spelling of 2133216864 in words is "two billion, one hundred thirty-three million, two hundred sixteen thousand, eight hundred sixty-four".