2042133120 has 256 divisors, whose sum is σ = 7326864000. Its totient is φ = 544195584.

The previous prime is 2042133103. The next prime is 2042133179. The reversal of 2042133120 is 213312402.

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 = 2042133093 and 2042133102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398951 + ... + 1400409.

Almost surely, 2^2042133120 is an apocalyptic number.

2042133120 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 2042133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663432000).

2042133120 is an abundant number, since it is smaller than the sum of its proper divisors (5284730880).

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

2042133120 is an frugal number, since it uses more digits than its factorization.

2042133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2042133120 is about 45189.9670280915. The cubic root of 2042133120 is about 1268.7070396610.

Adding to 2042133120 its reverse (213312402), we get a palindrome (2255445522).

The spelling of 2042133120 in words is "two billion, forty-two million, one hundred thirty-three thousand, one hundred twenty".