2607105664 has 32 divisors (see below), whose sum is σ = 5196198240. Its totient is φ = 1302961920.

The previous prime is 2607105649. The next prime is 2607105667. The reversal of 2607105664 is 4665017062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2607105667) 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 3 ways as a sum of consecutive naturals, for example, 463509 + ... + 469099.

It is an arithmetic number, because the mean of its divisors is an integer number (162381195).

Almost surely, 2^2607105664 is an apocalyptic number.

It is an amenable number.

2607105664 is a deficient number, since it is larger than the sum of its proper divisors (2589092576).

2607105664 is an equidigital number, since it uses as much as digits as its factorization.

2607105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2607105664 is about 51059.8243631918. The cubic root of 2607105664 is about 1376.3203914111.

The spelling of 2607105664 in words is "two billion, six hundred seven million, one hundred five thousand, six hundred sixty-four".