2683320 has 64 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 701568.

The previous prime is 2683319. The next prime is 2683321. The reversal of 2683320 is 233862.

2683320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2683319) and next prime (2683321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683321) by changing a digit.

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, 6891 + ... + 7269.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

2^2683320 is an apocalyptic number.

2683320 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 2683320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

2683320 is an abundant number, since it is smaller than the sum of its proper divisors (5524680).

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

2683320 is a wasteful number, since it uses less digits than its factorization.

2683320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2683320 is about 1638.0842469177. The cubic root of 2683320 is about 138.9603254434.

It can be divided in two parts, 2683 and 320, that added together give a palindrome (3003).

The spelling of 2683320 in words is "two million, six hundred eighty-three thousand, three hundred twenty".