2133226368 has 960 divisors, whose sum is σ = 8864024400. Its totient is φ = 501645312.

The previous prime is 2133226363. The next prime is 2133226369. The reversal of 2133226368 is 8636223312.

It is a happy number.

2133226368 is a `hidden beast` number, since 2 + 1 + 332 + 263 + 68 = 666.

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 (2133226363) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112275063 + ... + 112275081.

Almost surely, 2^2133226368 is an apocalyptic number.

2133226368 is a gapful number since it is divisible by the number (28) 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 2133226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432012200).

2133226368 is an abundant number, since it is smaller than the sum of its proper divisors (6730798032).

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

2133226368 is a wasteful number, since it uses less digits than its factorization.

2133226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2133226368 is about 46186.8635869551. The cubic root of 2133226368 is about 1287.2976637200.

The spelling of 2133226368 in words is "two billion, one hundred thirty-three million, two hundred twenty-six thousand, three hundred sixty-eight".