2531456642 has 32 divisors (see below), whose sum is σ = 4464028800. Its totient is φ = 1061435520.

The previous prime is 2531456579. The next prime is 2531456671. The reversal of 2531456642 is 2466541352.

2531456642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 2531456596 and 2531456605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828734 + ... + 831782.

It is an arithmetic number, because the mean of its divisors is an integer number (139500900).

Almost surely, 2^2531456642 is an apocalyptic number.

2531456642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2531456642 is a deficient number, since it is larger than the sum of its proper divisors (1932572158).

2531456642 is a wasteful number, since it uses less digits than its factorization.

2531456642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978.

The product of its digits is 172800, while the sum is 38.

The square root of 2531456642 is about 50313.5830765411. The cubic root of 2531456642 is about 1362.8775293862.

Adding to 2531456642 its reverse (2466541352), we get a palindrome (4997997994).

The spelling of 2531456642 in words is "two billion, five hundred thirty-one million, four hundred fifty-six thousand, six hundred forty-two".