2042320 has 60 divisors (see below), whose sum is σ = 5534244. Its totient is φ = 698880.

The previous prime is 2042317. The next prime is 2042323. The reversal of 2042320 is 232402.

It is an interprime number because it is at equal distance from previous prime (2042317) and next prime (2042323).

It can be written as a sum of positive squares in 2 ways, for example, as 659344 + 1382976 = 812^2 + 1176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2042320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042323) 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 11 ways as a sum of consecutive naturals, for example, 3660 + ... + 4180.

2^2042320 is an apocalyptic number.

2042320 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 2042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767122).

2042320 is an abundant number, since it is smaller than the sum of its proper divisors (3491924).

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

2042320 is a wasteful number, since it uses less digits than its factorization.

2042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2042320 is about 1429.0976173796. The cubic root of 2042320 is about 126.8745739185.

Adding to 2042320 its reverse (232402), we get a palindrome (2274722).

It can be divided in two parts, 20 and 42320, that multiplied together give a square (846400 = 920²).

The spelling of 2042320 in words is "two million, forty-two thousand, three hundred twenty".