2813800 has 48 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 1022400.

The previous prime is 2813737. The next prime is 2813807. The reversal of 2813800 is 83182.

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

It is not an unprimeable number, because it can be changed into a prime (2813807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1561 + ... + 2839.

It is an arithmetic number, because the mean of its divisors is an integer number (148800).

2^2813800 is an apocalyptic number.

2813800 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 2813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2813800 is an abundant number, since it is smaller than the sum of its proper divisors (4328600).

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

2813800 is a wasteful number, since it uses less digits than its factorization.

2813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1297 counting only the distinct ones).

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

The square root of 2813800 is about 1677.4385234637. The cubic root of 2813800 is about 141.1771493704.

Adding to 2813800 its reverse (83182), we get a palindrome (2896982).

The spelling of 2813800 in words is "two million, eight hundred thirteen thousand, eight hundred".