2042000 has 40 divisors (see below), whose sum is σ = 4942392. Its totient is φ = 816000.

The previous prime is 2041997. The next prime is 2042017. The reversal of 2042000 is 2402.

2042000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 1982464 = 244^2 + 1408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490 + ... + 2510.

2^2042000 is an apocalyptic number.

2042000 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 2042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471196).

2042000 is an abundant number, since it is smaller than the sum of its proper divisors (2900392).

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

2042000 is a wasteful number, since it uses less digits than its factorization.

2042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2042000 is about 1428.9856542317. The cubic root of 2042000 is about 126.8679471437.

Adding to 2042000 its reverse (2402), we get a palindrome (2044402).

The spelling of 2042000 in words is "two million, forty-two thousand", and thus it is an eban number.