2606800 has 120 divisors (see below), whose sum is σ = 7688000. Its totient is φ = 846720.

The previous prime is 2606783. The next prime is 2606803. The reversal of 2606800 is 86062.

2606800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137191 + ... + 137209.

2^2606800 is an apocalyptic number.

2606800 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 2606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844000).

2606800 is an abundant number, since it is smaller than the sum of its proper divisors (5081200).

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

2606800 is a wasteful number, since it uses less digits than its factorization.

2606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2606800 is about 1614.5587632539. The cubic root of 2606800 is about 137.6266601488.

The spelling of 2606800 in words is "two million, six hundred six thousand, eight hundred".