2580100010 has 8 divisors (see below), whose sum is σ = 4644180036. Its totient is φ = 1032040000.

The previous prime is 2580100001. The next prime is 2580100037. The reversal of 2580100010 is 100010852.

2580100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2431771969 + 148328041 = 49313^2 + 12179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129004991 + ... + 129005010.

Almost surely, 2^2580100010 is an apocalyptic number.

2580100010 is a deficient number, since it is larger than the sum of its proper divisors (2064080026).

2580100010 is a wasteful number, since it uses less digits than its factorization.

2580100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258010008.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2580100010 is about 50794.6848597370. The cubic root of 2580100010 is about 1371.5516916943.

Adding to 2580100010 its reverse (100010852), we get a palindrome (2680110862).

The spelling of 2580100010 in words is "two billion, five hundred eighty million, one hundred thousand, ten".