2042100 has 54 divisors (see below), whose sum is σ = 6403670. Its totient is φ = 544320.

The previous prime is 2042083. The next prime is 2042107. The reversal of 2042100 is 12402.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 2039184 = 54^2 + 1428^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 235 + ... + 2034.

2^2042100 is an apocalyptic number.

2042100 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 2042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201835).

2042100 is an abundant number, since it is smaller than the sum of its proper divisors (4361570).

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

2042100 is a wasteful number, since it uses less digits than its factorization.

2042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2042100 is about 1429.0206436577. The cubic root of 2042100 is about 126.8700180852.

Adding to 2042100 its reverse (12402), we get a palindrome (2054502).

It can be divided in two parts, 204 and 2100, that added together give a square (2304 = 48²).

The spelling of 2042100 in words is "two million, forty-two thousand, one hundred".