2612320 has 48 divisors (see below), whose sum is σ = 6395760. Its totient is φ = 1007104.

The previous prime is 2612297. The next prime is 2612321. The reversal of 2612320 is 232162.

2612320 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2612294 and 2612303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612321) 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 7 ways as a sum of consecutive naturals, for example, 4359 + ... + 4921.

It is an arithmetic number, because the mean of its divisors is an integer number (133245).

2^2612320 is an apocalyptic number.

2612320 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 2612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197880).

2612320 is an abundant number, since it is smaller than the sum of its proper divisors (3783440).

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

2612320 is a wasteful number, since it uses less digits than its factorization.

2612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2612320 is about 1616.2673046251. The cubic root of 2612320 is about 137.7237349229.

Adding to 2612320 its reverse (232162), we get a palindrome (2844482).

The spelling of 2612320 in words is "two million, six hundred twelve thousand, three hundred twenty".