2081600 has 42 divisors (see below), whose sum is σ = 5125974. Its totient is φ = 832000.

The previous prime is 2081581. The next prime is 2081603. The reversal of 2081600 is 61802.

2081600 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 2050624 = 176^2 + 1432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 950 + ... + 2250.

It is an arithmetic number, because the mean of its divisors is an integer number (122047).

2^2081600 is an apocalyptic number.

2081600 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 2081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562987).

2081600 is an abundant number, since it is smaller than the sum of its proper divisors (3044374).

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

2081600 is a wasteful number, since it uses less digits than its factorization.

2081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2081600 is about 1442.7751037497. The cubic root of 2081600 is about 127.6828083795.

The spelling of 2081600 in words is "two million, eighty-one thousand, six hundred".