2080100 has 72 divisors (see below), whose sum is σ = 5166336. Its totient is φ = 720000.

The previous prime is 2080081. The next prime is 2080121. The reversal of 2080100 is 10802.

It is a Harshad number since it is a multiple of its sum of digits (11).

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, 34070 + ... + 34130.

2^2080100 is an apocalyptic number.

2080100 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 2080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583168).

2080100 is an abundant number, since it is smaller than the sum of its proper divisors (3086236).

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

2080100 is a wasteful number, since it uses less digits than its factorization.

2080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2080100 is about 1442.2551785312. The cubic root of 2080100 is about 127.6521316189.

Adding to 2080100 its reverse (10802), we get a palindrome (2090902).

The spelling of 2080100 in words is "two million, eighty thousand, one hundred".