2561679200 has 36 divisors (see below), whose sum is σ = 6253701300. Its totient is φ = 1024671360.

The previous prime is 2561679181. The next prime is 2561679209. The reversal of 2561679200 is 29761652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561679209) 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 5 ways as a sum of consecutive naturals, for example, 1600250 + ... + 1601849.

It is an arithmetic number, because the mean of its divisors is an integer number (173713925).

Almost surely, 2^2561679200 is an apocalyptic number.

2561679200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561679200 is an abundant number, since it is smaller than the sum of its proper divisors (3692022100).

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

2561679200 is a wasteful number, since it uses less digits than its factorization.

2561679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202119 (or 3202106 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 2561679200 is about 50613.0338944426. The cubic root of 2561679200 is about 1368.2797952602.

The spelling of 2561679200 in words is "two billion, five hundred sixty-one million, six hundred seventy-nine thousand, two hundred".