2813520 has 80 divisors (see below), whose sum is σ = 9195840. Its totient is φ = 709632.

The previous prime is 2813519. The next prime is 2813549. The reversal of 2813520 is 253182.

2813520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 4252 + ... + 4868.

It is an arithmetic number, because the mean of its divisors is an integer number (114948).

2^2813520 is an apocalyptic number.

2813520 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 2813520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597920).

2813520 is an abundant number, since it is smaller than the sum of its proper divisors (6382320).

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

2813520 is a wasteful number, since it uses less digits than its factorization.

2813520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2813520 is about 1677.3550608026. The cubic root of 2813520 is about 141.1724663897.

It can be divided in two parts, 2813 and 520, that added together give a palindrome (3333).

The spelling of 2813520 in words is "two million, eight hundred thirteen thousand, five hundred twenty".