2431120 has 20 divisors (see below), whose sum is σ = 5652540. Its totient is φ = 972416.

The previous prime is 2431097. The next prime is 2431127. The reversal of 2431120 is 211342.

It can be written as a sum of positive squares in 2 ways, for example, as 1290496 + 1140624 = 1136^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2431120.

It is not an unprimeable number, because it can be changed into a prime (2431127) 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 3 ways as a sum of consecutive naturals, for example, 15115 + ... + 15274.

It is an arithmetic number, because the mean of its divisors is an integer number (282627).

2^2431120 is an apocalyptic number.

2431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431120 is an abundant number, since it is smaller than the sum of its proper divisors (3221420).

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

2431120 is a wasteful number, since it uses less digits than its factorization.

2431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30402 (or 30396 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2431120 is about 1559.2049255951. The cubic root of 2431120 is about 134.4627942584.

Adding to 2431120 its reverse (211342), we get a palindrome (2642462).

The spelling of 2431120 in words is "two million, four hundred thirty-one thousand, one hundred twenty".