2033213616 has 480 divisors, whose sum is σ = 7372861440. Its totient is φ = 524620800.

The previous prime is 2033213569. The next prime is 2033213627. The reversal of 2033213616 is 6163123302.

It is a happy number.

2033213616 is a `hidden beast` number, since 2 + 0 + 3 + 32 + 13 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2033213616.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49590556 + ... + 49590596.

It is an arithmetic number, because the mean of its divisors is an integer number (15360128).

Almost surely, 2^2033213616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686430720).

2033213616 is an abundant number, since it is smaller than the sum of its proper divisors (5339647824).

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

2033213616 is a wasteful number, since it uses less digits than its factorization.

2033213616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2033213616 is about 45091.1700446994. The cubic root of 2033213616 is about 1266.8572168857.

Adding to 2033213616 its reverse (6163123302), we get a palindrome (8196336918).

The spelling of 2033213616 in words is "two billion, thirty-three million, two hundred thirteen thousand, six hundred sixteen".