2042120 has 32 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 773568.

The previous prime is 2042111. The next prime is 2042123. The reversal of 2042120 is 212402.

It is not an unprimeable number, because it can be changed into a prime (2042123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

2^2042120 is an apocalyptic number.

2042120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042120 is an abundant number, since it is smaller than the sum of its proper divisors (2796280).

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

2042120 is a wasteful number, since it uses less digits than its factorization.

2042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2042120 is about 1429.0276414402. The cubic root of 2042120 is about 126.8704322654.

Adding to 2042120 its reverse (212402), we get a palindrome (2254522).

The spelling of 2042120 in words is "two million, forty-two thousand, one hundred twenty".