2561800 has 24 divisors (see below), whose sum is σ = 5956650. Its totient is φ = 1024640.

The previous prime is 2561771. The next prime is 2561807. The reversal of 2561800 is 81652.

It is a happy number.

2561800 is digitally balanced in base 5, 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 3 ways, for example, as 1674436 + 887364 = 1294^2 + 942^2 .

It is not an unprimeable number, because it can be changed into a prime (2561807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6205 + ... + 6604.

2^2561800 is an apocalyptic number.

2561800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561800 is an abundant number, since it is smaller than the sum of its proper divisors (3394850).

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

2561800 is a wasteful number, since it uses less digits than its factorization.

2561800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12816 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 2561800 is about 1600.5624011578. The cubic root of 2561800 is about 136.8301302715.

It can be divided in two parts, 2 and 561800, that multiplied together give a square (1123600 = 1060²).

The spelling of 2561800 in words is "two million, five hundred sixty-one thousand, eight hundred".