2540884630553 has 2 divisors, whose sum is σ = 2540884630554. Its totient is φ = 2540884630552.

The previous prime is 2540884630511. The next prime is 2540884630577. The reversal of 2540884630553 is 3550364880452.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2456015540224 + 84869090329 = 1567168^2 + 291323^2 .

It is a cyclic number.

It is not a de Polignac number, because 2540884630553 - 2²⁸ = 2540616195097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2540884630495 and 2540884630504.

It is not a weakly prime, because it can be changed into another prime (2540884650553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270442315276 + 1270442315277.

It is an arithmetic number, because the mean of its divisors is an integer number (1270442315277).

Almost surely, 2^{2540884630553} is an apocalyptic number.

It is an amenable number.

2540884630553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540884630553 is an equidigital number, since it uses as much as digits as its factorization.

2540884630553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824000, while the sum is 53.

The spelling of 2540884630553 in words is "two trillion, five hundred forty billion, eight hundred eighty-four million, six hundred thirty thousand, five hundred fifty-three".