2531414120 has 64 divisors (see below), whose sum is σ = 5962429440. Its totient is φ = 966067200.

The previous prime is 2531414117. The next prime is 2531414131. The reversal of 2531414120 is 214141352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73664 + ... + 102416.

It is an arithmetic number, because the mean of its divisors is an integer number (93162960).

Almost surely, 2^2531414120 is an apocalyptic number.

2531414120 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 2531414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981214720).

2531414120 is an abundant number, since it is smaller than the sum of its proper divisors (3431015320).

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

2531414120 is a wasteful number, since it uses less digits than its factorization.

2531414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28866 (or 28862 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2531414120 is about 50313.1605049812. The cubic root of 2531414120 is about 1362.8698983907.

Adding to 2531414120 its reverse (214141352), we get a palindrome (2745555472).

The spelling of 2531414120 in words is "two billion, five hundred thirty-one million, four hundred fourteen thousand, one hundred twenty".