2033120330032 has 80 divisors (see below), whose sum is σ = 4378952184480. Its totient is φ = 906585804800.

The previous prime is 2033120330011. The next prime is 2033120330041. The reversal of 2033120330032 is 2300330213302.

It is a super-2 number, since 2×2033120330032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2033120329985 and 2033120330012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128989032 + ... + 129004792.

It is an arithmetic number, because the mean of its divisors is an integer number (54736902306).

Almost surely, 2^{2033120330032} is an apocalyptic number.

2033120330032 is a gapful number since it is divisible by the number (22) 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 2033120330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189476092240).

2033120330032 is an abundant number, since it is smaller than the sum of its proper divisors (2345831854448).

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

2033120330032 is a wasteful number, since it uses less digits than its factorization.

2033120330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29662 (or 29656 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 2033120330032 its reverse (2300330213302), we get a palindrome (4333450543334).

The spelling of 2033120330032 in words is "two trillion, thirty-three billion, one hundred twenty million, three hundred thirty thousand, thirty-two".