2034000 has 120 divisors (see below), whose sum is σ = 7166952. Its totient is φ = 537600.

The previous prime is 2033989. The next prime is 2034017. The reversal of 2034000 is 4302.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 1498176 = 732^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17944 + ... + 18056.

2^2034000 is an apocalyptic number.

2034000 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 2034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583476).

2034000 is an abundant number, since it is smaller than the sum of its proper divisors (5132952).

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

2034000 is a wasteful number, since it uses less digits than its factorization.

2034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2034000 is about 1426.1837188806. The cubic root of 2034000 is about 126.7020522867.

Adding to 2034000 its reverse (4302), we get a palindrome (2038302).

The spelling of 2034000 in words is "two million, thirty-four thousand", and thus it is an eban number.