2042080 has 24 divisors (see below), whose sum is σ = 4824792. Its totient is φ = 816768.

The previous prime is 2042077. The next prime is 2042083. The reversal of 2042080 is 802402.

It is an interprime number because it is at equal distance from previous prime (2042077) and next prime (2042083).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6222 + ... + 6541.

It is an arithmetic number, because the mean of its divisors is an integer number (201033).

2^2042080 is an apocalyptic number.

2042080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042080 is an abundant number, since it is smaller than the sum of its proper divisors (2782712).

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

2042080 is a wasteful number, since it uses less digits than its factorization.

2042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2042080 is about 1429.0136458411. The cubic root of 2042080 is about 126.8696039023.

Adding to 2042080 its reverse (802402), we get a palindrome (2844482).

The spelling of 2042080 in words is "two million, forty-two thousand, eighty".