2531344032 has 144 divisors (see below), whose sum is σ = 8251064640. Its totient is φ = 721115136.

The previous prime is 2531344031. The next prime is 2531344037. The reversal of 2531344032 is 2304431352.

2531344032 is a `hidden beast` number, since 253 + 1 + 3 + 4 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2531343987 and 2531344005.

It is not an unprimeable number, because it can be changed into a prime (2531344031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762408 + ... + 765720.

It is an arithmetic number, because the mean of its divisors is an integer number (57299060).

Almost surely, 2^2531344032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125532320).

2531344032 is an abundant number, since it is smaller than the sum of its proper divisors (5719720608).

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

2531344032 is a wasteful number, since it uses less digits than its factorization.

2531344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2531344032 is about 50312.4639825958. The cubic root of 2531344032 is about 1362.8573202160.

Adding to 2531344032 its reverse (2304431352), we get a palindrome (4835775384).

The spelling of 2531344032 in words is "two billion, five hundred thirty-one million, three hundred forty-four thousand, thirty-two".