2560600 has 96 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 835200.

The previous prime is 2560583. The next prime is 2560601. The reversal of 2560600 is 60652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43371 + ... + 43429.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

2^2560600 is an apocalyptic number.

2560600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2560600 is an abundant number, since it is smaller than the sum of its proper divisors (4581800).

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

2560600 is a wasteful number, since it uses less digits than its factorization.

2560600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2560600 is about 1600.1874890150. The cubic root of 2560600 is about 136.8087622490.

It can be divided in two parts, 2560 and 600, that added together give a triangular number (3160 = T₇₉).

The spelling of 2560600 in words is "two million, five hundred sixty thousand, six hundred".