2580258641 has 16 divisors (see below), whose sum is σ = 2663424000. Its totient is φ = 2498625360.

The previous prime is 2580258613. The next prime is 2580258643. The reversal of 2580258641 is 1468520852.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2580258641 - 2¹⁴ = 2580242257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2580258643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2373200 + ... + 2374286.

It is an arithmetic number, because the mean of its divisors is an integer number (166464000).

Almost surely, 2^2580258641 is an apocalyptic number.

It is an amenable number.

2580258641 is a deficient number, since it is larger than the sum of its proper divisors (83165359).

2580258641 is a wasteful number, since it uses less digits than its factorization.

2580258641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724.

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 2580258641 is about 50796.2463278538. The cubic root of 2580258641 is about 1371.5797999274.

The spelling of 2580258641 in words is "two billion, five hundred eighty million, two hundred fifty-eight thousand, six hundred forty-one".