2001333120 has 128 divisors (see below), whose sum is σ = 6426000000. Its totient is φ = 529778688.

The previous prime is 2001333107. The next prime is 2001333199. The reversal of 2001333120 is 213331002.

2001333120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001333120.

It is a congruent number.

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, 263131 + ... + 270629.

It is an arithmetic number, because the mean of its divisors is an integer number (50203125).

Almost surely, 2^2001333120 is an apocalyptic number.

2001333120 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 2001333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213000000).

2001333120 is an abundant number, since it is smaller than the sum of its proper divisors (4424666880).

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

2001333120 is a wasteful number, since it uses less digits than its factorization.

2001333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2001333120 is about 44736.2618018091. The cubic root of 2001333120 is about 1260.2009253778.

Adding to 2001333120 its reverse (213331002), we get a palindrome (2214664122).

The spelling of 2001333120 in words is "two billion, one million, three hundred thirty-three thousand, one hundred twenty".