2300480 has 112 divisors (see below), whose sum is σ = 6827520. Its totient is φ = 718848.

The previous prime is 2300447. The next prime is 2300489. The reversal of 2300480 is 840032.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2300489) 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, 29081 + ... + 29159.

It is an arithmetic number, because the mean of its divisors is an integer number (60960).

2^2300480 is an apocalyptic number.

2300480 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 2300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760).

2300480 is an abundant number, since it is smaller than the sum of its proper divisors (4527040).

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

2300480 is a wasteful number, since it uses less digits than its factorization.

2300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2300480 is about 1516.7333318682. The cubic root of 2300480 is about 132.0097941922.

The spelling of 2300480 in words is "two million, three hundred thousand, four hundred eighty".