2813008 has 30 divisors (see below), whose sum is σ = 5994842. Its totient is φ = 1277760.

The previous prime is 2812993. The next prime is 2813011. The reversal of 2813008 is 8003182.

It can be written as a sum of positive squares in only one way, i.e., 2795584 + 17424 = 1672^2 + 132^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2813008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1210 + ... + 2662.

2^2813008 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 2813008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997421).

2813008 is an abundant number, since it is smaller than the sum of its proper divisors (3181834).

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

2813008 is a wasteful number, since it uses less digits than its factorization.

2813008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2813008 is about 1677.2024326240. The cubic root of 2813008 is about 141.1639024215.

The spelling of 2813008 in words is "two million, eight hundred thirteen thousand, eight".