2185680 has 80 divisors (see below), whose sum is σ = 7749504. Its totient is φ = 499200.

The previous prime is 2185661. The next prime is 2185697. The reversal of 2185680 is 865812.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030 + ... + 2330.

2^2185680 is an apocalyptic number.

2185680 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 2185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874752).

2185680 is an abundant number, since it is smaller than the sum of its proper divisors (5563824).

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

2185680 is a wasteful number, since it uses less digits than its factorization.

2185680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2185680 is about 1478.4045454476. The cubic root of 2185680 is about 129.7763412649.

The spelling of 2185680 in words is "two million, one hundred eighty-five thousand, six hundred eighty".