2506431641 has 8 divisors (see below), whose sum is σ = 2871860160. Its totient is φ = 2142844848.

The previous prime is 2506431637. The next prime is 2506431659. The reversal of 2506431641 is 1461346052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2506431641 - 2² = 2506431637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2506431598 and 2506431607.

It is not an unprimeable number, because it can be changed into a prime (2506431611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457511 + ... + 462956.

It is an arithmetic number, because the mean of its divisors is an integer number (358982520).

Almost surely, 2^2506431641 is an apocalyptic number.

It is an amenable number.

2506431641 is a deficient number, since it is larger than the sum of its proper divisors (365428519).

2506431641 is an equidigital number, since it uses as much as digits as its factorization.

2506431641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920863.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2506431641 is about 50064.2750971189. The cubic root of 2506431641 is about 1358.3716889450.

Adding to 2506431641 its reverse (1461346052), we get a palindrome (3967777693).

The spelling of 2506431641 in words is "two billion, five hundred six million, four hundred thirty-one thousand, six hundred forty-one".