2033221320 has 384 divisors, whose sum is σ = 7500729600. Its totient is φ = 474163200.

The previous prime is 2033221231. The next prime is 2033221409. The reversal of 2033221320 is 231223302.

It is a happy number.

2033221320 is a `hidden beast` number, since 20 + 3 + 322 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2033221231) and next prime (2033221409).

It is a super-2 number, since 2×2033221320² = 8267977872205084800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2033221293 and 2033221302.

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, 9636015 + ... + 9636225.

It is an arithmetic number, because the mean of its divisors is an integer number (19533150).

Almost surely, 2^2033221320 is an apocalyptic number.

2033221320 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 2033221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750364800).

2033221320 is an abundant number, since it is smaller than the sum of its proper divisors (5467508280).

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

2033221320 is a wasteful number, since it uses less digits than its factorization.

2033221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2033221320 is about 45091.2554715435. The cubic root of 2033221320 is about 1266.8588169563.

Adding to 2033221320 its reverse (231223302), we get a palindrome (2264444622).

The spelling of 2033221320 in words is "two billion, thirty-three million, two hundred twenty-one thousand, three hundred twenty".