2641164160 has 64 divisors (see below), whose sum is σ = 6646381200. Its totient is φ = 1000857600.

The previous prime is 2641164091. The next prime is 2641164181. The reversal of 2641164160 is 614611462.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96441 + ... + 120760.

Almost surely, 2^2641164160 is an apocalyptic number.

2641164160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641164160 is an abundant number, since it is smaller than the sum of its proper divisors (4005217040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2641164160 is a wasteful number, since it uses less digits than its factorization.

2641164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217239 (or 217227 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2641164160 is about 51392.2577826661. The cubic root of 2641164160 is about 1382.2877686307.

The spelling of 2641164160 in words is "two billion, six hundred forty-one million, one hundred sixty-four thousand, one hundred sixty".