2842100 has 36 divisors (see below), whose sum is σ = 6252204. Its totient is φ = 1121280.

The previous prime is 2842097. The next prime is 2842127. The reversal of 2842100 is 12482.

It can be written as a sum of positive squares in 6 ways, for example, as 33124 + 2808976 = 182^2 + 1676^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9554 + ... + 9846.

2^2842100 is an apocalyptic number.

2842100 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 2842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126102).

2842100 is an abundant number, since it is smaller than the sum of its proper divisors (3410104).

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

2842100 is a wasteful number, since it uses less digits than its factorization.

2842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2842100 is about 1685.8528998700. The cubic root of 2842100 is about 141.6488712749.

Adding to 2842100 its reverse (12482), we get a palindrome (2854582).

The spelling of 2842100 in words is "two million, eight hundred forty-two thousand, one hundred".