2531120 has 40 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 976640.

The previous prime is 2531117. The next prime is 2531167. The reversal of 2531120 is 211352.

It is a happy number.

2531120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2531095 and 2531104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

2^2531120 is an apocalyptic number.

2531120 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 2531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2531120 is an abundant number, since it is smaller than the sum of its proper divisors (3562240).

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

2531120 is a wasteful number, since it uses less digits than its factorization.

2531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2531120 is about 1590.9494020867. The cubic root of 2531120 is about 136.2817113294.

Adding to 2531120 its reverse (211352), we get a palindrome (2742472).

The spelling of 2531120 in words is "two million, five hundred thirty-one thousand, one hundred twenty".