2531540343440 has 40 divisors (see below), whose sum is σ = 5885904815928. Its totient is φ = 1012603489280.

The previous prime is 2531540343439. The next prime is 2531540343469. The reversal of 2531540343440 is 443430451352.

It can be written as a sum of positive squares in 4 ways, for example, as 47726519296 + 2483813824144 = 218464^2 + 1576012^2 .

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 = 2531540343394 and 2531540343403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8780780 + ... + 9064500.

Almost surely, 2^{2531540343440} is an apocalyptic number.

2531540343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531540343440 is an abundant number, since it is smaller than the sum of its proper divisors (3354364472488).

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

2531540343440 is a wasteful number, since it uses less digits than its factorization.

2531540343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395267 (or 395261 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 2531540343440 its reverse (443430451352), we get a palindrome (2974970794792).

The spelling of 2531540343440 in words is "two trillion, five hundred thirty-one billion, five hundred forty million, three hundred forty-three thousand, four hundred forty".