2430480 has 160 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 552960.

The previous prime is 2430469. The next prime is 2430487. The reversal of 2430480 is 840342.

It is a happy number.

It is a Cunningham number, because it is equal to 1559²-1.

It is not an unprimeable number, because it can be changed into a prime (2430487) 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 31 ways as a sum of consecutive naturals, for example, 59260 + ... + 59300.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2^2430480 is an apocalyptic number.

2430480 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 2430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

2430480 is an abundant number, since it is smaller than the sum of its proper divisors (6318960).

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

2430480 is a wasteful number, since it uses less digits than its factorization.

2430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2430480 is about 1558.9996792816. Note that the first 3 decimals coincide. The cubic root of 2430480 is about 134.4509939714.

It can be divided in two parts, 2430 and 480, that multiplied together give a square (1166400 = 1080²).

The spelling of 2430480 in words is "two million, four hundred thirty thousand, four hundred eighty".