2580165160 has 64 divisors (see below), whose sum is σ = 5911606800. Its totient is φ = 1013354496.

The previous prime is 2580165143. The next prime is 2580165169. The reversal of 2580165160 is 615610852.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1039288644 + 1540876516 = 32238^2 + 39254^2 .

It is not an unprimeable number, because it can be changed into a prime (2580165169) 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 15 ways as a sum of consecutive naturals, for example, 490062 + ... + 495298.

Almost surely, 2^2580165160 is an apocalyptic number.

2580165160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580165160 is an abundant number, since it is smaller than the sum of its proper divisors (3331441640).

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

2580165160 is a wasteful number, since it uses less digits than its factorization.

2580165160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 2580165160 is about 50795.3261629453. The cubic root of 2580165160 is about 1371.5632359291.

The spelling of 2580165160 in words is "two billion, five hundred eighty million, one hundred sixty-five thousand, one hundred sixty".