2538640002547 has 16 divisors (see below), whose sum is σ = 2932640928000. Its totient is φ = 2173296342240.

The previous prime is 2538640002523. The next prime is 2538640002571. The reversal of 2538640002547 is 7452000468352.

It is an interprime number because it is at equal distance from previous prime (2538640002523) and next prime (2538640002571).

It is a cyclic number.

It is not a de Polignac number, because 2538640002547 - 2²³ = 2538631613939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2538640002497 and 2538640002506.

It is not an unprimeable number, because it can be changed into a prime (2538640002947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36332172 + ... + 36401977.

It is an arithmetic number, because the mean of its divisors is an integer number (183290058000).

Almost surely, 2^{2538640002547} is an apocalyptic number.

2538640002547 is a deficient number, since it is larger than the sum of its proper divisors (394000925453).

2538640002547 is a wasteful number, since it uses less digits than its factorization.

2538640002547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72734346.

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 2538640002547 in words is "two trillion, five hundred thirty-eight billion, six hundred forty million, two thousand, five hundred forty-seven".