2083680 has 72 divisors (see below), whose sum is σ = 7115472. Its totient is φ = 555264.

The previous prime is 2083643. The next prime is 2083681. The reversal of 2083680 is 863802.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (98826).

2^2083680 is an apocalyptic number.

2083680 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 2083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557736).

2083680 is an abundant number, since it is smaller than the sum of its proper divisors (5031792).

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

2083680 is a wasteful number, since it uses less digits than its factorization.

2083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2083680 is about 1443.4957568348. The cubic root of 2083680 is about 127.7253224443.

The spelling of 2083680 in words is "two million, eighty-three thousand, six hundred eighty".