2201680 has 80 divisors (see below), whose sum is σ = 5780880. Its totient is φ = 774144.

The previous prime is 2201677. The next prime is 2201681. The reversal of 2201680 is 861022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 104976 + 2096704 = 324^2 + 1448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30124 + ... + 30196.

It is an arithmetic number, because the mean of its divisors is an integer number (72261).

2^2201680 is an apocalyptic number.

2201680 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 2201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890440).

2201680 is an abundant number, since it is smaller than the sum of its proper divisors (3579200).

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

2201680 is a wasteful number, since it uses less digits than its factorization.

2201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2201680 is about 1483.8059172277. The cubic root of 2201680 is about 130.0922422258.

The spelling of 2201680 in words is "two million, two hundred one thousand, six hundred eighty".