2813568 has 64 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 880640.

The previous prime is 2813563. The next prime is 2813579. The reversal of 2813568 is 8653182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2813563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6313 + ... + 6743.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

2^2813568 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 2813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

2813568 is an abundant number, since it is smaller than the sum of its proper divisors (5117952).

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

2813568 is a wasteful number, since it uses less digits than its factorization.

2813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2813568 is about 1677.3693689823. The cubic root of 2813568 is about 141.1732692085.

It can be divided in two parts, 28135 and 68, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 2813568 in words is "two million, eight hundred thirteen thousand, five hundred sixty-eight".