2310480 has 60 divisors (see below), whose sum is σ = 7761780. Its totient is φ = 615936.

The previous prime is 2310479. The next prime is 2310481. The reversal of 2310480 is 840132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2310479) and next prime (2310481).

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 1245456 = 1032^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310481) 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 11 ways as a sum of consecutive naturals, for example, 885 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (129363).

2^2310480 is an apocalyptic number.

2310480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2310480 is an abundant number, since it is smaller than the sum of its proper divisors (5451300).

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

2310480 is a wasteful number, since it uses less digits than its factorization.

2310480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2310480 is about 1520.0263155617. The cubic root of 2310480 is about 132.2007963253.

The spelling of 2310480 in words is "two million, three hundred ten thousand, four hundred eighty".