2305680 has 80 divisors (see below), whose sum is σ = 7707840. Its totient is φ = 566784.

The previous prime is 2305651. The next prime is 2305691. The reversal of 2305680 is 865032.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2305680.

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, 2751 + ... + 3489.

It is an arithmetic number, because the mean of its divisors is an integer number (96348).

2^2305680 is an apocalyptic number.

2305680 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 2305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853920).

2305680 is an abundant number, since it is smaller than the sum of its proper divisors (5402160).

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

2305680 is a wasteful number, since it uses less digits than its factorization.

2305680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2305680 is about 1518.4465746282. The cubic root of 2305680 is about 132.1091842268.

The spelling of 2305680 in words is "two million, three hundred five thousand, six hundred eighty".