2855600 has 90 divisors (see below), whose sum is σ = 7668780. Its totient is φ = 1020800.

The previous prime is 2855599. The next prime is 2855603. The reversal of 2855600 is 65582.

2855600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2855600.

It is not an unprimeable number, because it can be changed into a prime (2855603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48371 + ... + 48429.

2^2855600 is an apocalyptic number.

2855600 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 2855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834390).

2855600 is an abundant number, since it is smaller than the sum of its proper divisors (4813180).

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

2855600 is a wasteful number, since it uses less digits than its factorization.

2855600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2855600 is about 1689.8520645311. The cubic root of 2855600 is about 141.8727948967.

It can be divided in two parts, 285 and 5600, that added together give a palindrome (5885).

The spelling of 2855600 in words is "two million, eight hundred fifty-five thousand, six hundred".