2820312 has 64 divisors (see below), whose sum is σ = 8553600. Its totient is φ = 853920.

The previous prime is 2820271. The next prime is 2820313. The reversal of 2820312 is 2130282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (133650).

2^2820312 is an apocalyptic number.

2820312 is a gapful number since it is divisible by the number (22) 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 2820312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276800).

2820312 is an abundant number, since it is smaller than the sum of its proper divisors (5733288).

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

2820312 is a wasteful number, since it uses less digits than its factorization.

2820312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2820312 is about 1679.3784564535. The cubic root of 2820312 is about 141.2859745997.

Adding to 2820312 its reverse (2130282), we get a palindrome (4950594).

The spelling of 2820312 in words is "two million, eight hundred twenty thousand, three hundred twelve".