2579609960 has 16 divisors (see below), whose sum is σ = 5804122500. Its totient is φ = 1031843968.

The previous prime is 2579609959. The next prime is 2579609969. The reversal of 2579609960 is 699069752.

It can be written as a sum of positive squares in 2 ways, for example, as 2180329636 + 399280324 = 46694^2 + 19982^2 .

It is not an unprimeable number, because it can be changed into a prime (2579609969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32245085 + ... + 32245164.

Almost surely, 2^2579609960 is an apocalyptic number.

2579609960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2579609960 is an abundant number, since it is smaller than the sum of its proper divisors (3224512540).

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

2579609960 is a wasteful number, since it uses less digits than its factorization.

2579609960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64490260 (or 64490256 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 53.

The square root of 2579609960 is about 50789.8607991792. The cubic root of 2579609960 is about 1371.4648512021.

The spelling of 2579609960 in words is "two billion, five hundred seventy-nine million, six hundred nine thousand, nine hundred sixty".