2502115667 has 2 divisors, whose sum is σ = 2502115668. Its totient is φ = 2502115666.

The previous prime is 2502115657. The next prime is 2502115669. The reversal of 2502115667 is 7665112052.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2502115667 - 2⁸ = 2502115411 is a prime.

It is a super-2 number, since 2×2502115667² = 12521165622093709778, which contains 22 as substring.

Together with 2502115669, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2502115669) 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 as a sum of consecutive naturals, namely, 1251057833 + 1251057834.

It is an arithmetic number, because the mean of its divisors is an integer number (1251057834).

Almost surely, 2^2502115667 is an apocalyptic number.

2502115667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2502115667 is an equidigital number, since it uses as much as digits as its factorization.

2502115667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 2502115667 is about 50021.1521958461. The cubic root of 2502115667 is about 1357.5915539345.

The spelling of 2502115667 in words is "two billion, five hundred two million, one hundred fifteen thousand, six hundred sixty-seven".