2854008 has 64 divisors (see below), whose sum is σ = 8080800. Its totient is φ = 933120.

The previous prime is 2854003. The next prime is 2854021. The reversal of 2854008 is 8004582.

2854008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854003) 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 15 ways as a sum of consecutive naturals, for example, 15678 + ... + 15858.

2^2854008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2854008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040400).

2854008 is an abundant number, since it is smaller than the sum of its proper divisors (5226792).

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

2854008 is a wasteful number, since it uses less digits than its factorization.

2854008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2854008 is about 1689.3809517098. The cubic root of 2854008 is about 141.8464252517.

The spelling of 2854008 in words is "two million, eight hundred fifty-four thousand, eight".