2102800 has 60 divisors (see below), whose sum is σ = 5781376. Its totient is φ = 720000.

The previous prime is 2102797. The next prime is 2102801. The reversal of 2102800 is 82012.

It is not an unprimeable number, because it can be changed into a prime (2102801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2425 + ... + 3175.

2^2102800 is an apocalyptic number.

2102800 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 2102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890688).

2102800 is an abundant number, since it is smaller than the sum of its proper divisors (3678576).

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

2102800 is a wasteful number, since it uses less digits than its factorization.

2102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2102800 is about 1450.1034445859. The cubic root of 2102800 is about 128.1148058516.

Adding to 2102800 its reverse (82012), we get a palindrome (2184812).

The spelling of 2102800 in words is "two million, one hundred two thousand, eight hundred".