2638506117 has 32 divisors (see below), whose sum is σ = 3996518400. Its totient is φ = 1534963392.

The previous prime is 2638506107. The next prime is 2638506121. The reversal of 2638506117 is 7116058362.

It is not a de Polignac number, because 2638506117 - 2⁶ = 2638506053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638506107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 369184 + ... + 376262.

It is an arithmetic number, because the mean of its divisors is an integer number (124891200).

Almost surely, 2^2638506117 is an apocalyptic number.

It is an amenable number.

2638506117 is a deficient number, since it is larger than the sum of its proper divisors (1358012283).

2638506117 is a wasteful number, since it uses less digits than its factorization.

2638506117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2638506117 is about 51366.3909283103. The cubic root of 2638506117 is about 1381.8239058101.

The spelling of 2638506117 in words is "two billion, six hundred thirty-eight million, five hundred six thousand, one hundred seventeen".