2305980 has 72 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 587136.

The previous prime is 2305969. The next prime is 2305987. The reversal of 2305980 is 895032.

2305980 = 52³ + 53³ + ... + 63³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862 + ... + 4418.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

2^2305980 is an apocalyptic number.

2305980 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 2305980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2305980 is an abundant number, since it is smaller than the sum of its proper divisors (5006052).

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

2305980 is a wasteful number, since it uses less digits than its factorization.

2305980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2305980 is about 1518.5453565831. The cubic root of 2305980 is about 132.1149137060.

The spelling of 2305980 in words is "two million, three hundred five thousand, nine hundred eighty".