2605002667101 has 16 divisors (see below), whose sum is σ = 3859288139520. Its totient is φ = 1736657226720.

The previous prime is 2605002667079. The next prime is 2605002667117. The reversal of 2605002667101 is 1017662005062.

It is a happy number.

2605002667101 is a `hidden beast` number, since 2 + 60 + 500 + 26 + 6 + 71 + 0 + 1 = 666.

It is not a de Polignac number, because 2605002667101 - 2⁶ = 2605002667037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605002617101) 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 in 15 ways as a sum of consecutive naturals, for example, 7572721 + ... + 7909241.

It is an arithmetic number, because the mean of its divisors is an integer number (241205508720).

Almost surely, 2^{2605002667101} is an apocalyptic number.

It is an amenable number.

2605002667101 is a deficient number, since it is larger than the sum of its proper divisors (1254285472419).

2605002667101 is a wasteful number, since it uses less digits than its factorization.

2605002667101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623233 (or 623227 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 2605002667101 in words is "two trillion, six hundred five billion, two million, six hundred sixty-seven thousand, one hundred one".