2034100 has 18 divisors (see below), whose sum is σ = 4414214. Its totient is φ = 813600.

The previous prime is 2034061. The next prime is 2034103. The reversal of 2034100 is 14302.

It can be written as a sum of positive squares in 3 ways, for example, as 195364 + 1838736 = 442^2 + 1356^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10071 + ... + 10270.

2^2034100 is an apocalyptic number.

2034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034100 is an abundant number, since it is smaller than the sum of its proper divisors (2380114).

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

2034100 is a wasteful number, since it uses less digits than its factorization.

2034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20355 (or 20348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2034100 is about 1426.2187770465. The cubic root of 2034100 is about 126.7041286547.

Adding to 2034100 its reverse (14302), we get a palindrome (2048402).

The spelling of 2034100 in words is "two million, thirty-four thousand, one hundred".