2820240 has 60 divisors (see below), whose sum is σ = 9473724. Its totient is φ = 751872.

The previous prime is 2820239. The next prime is 2820263. The reversal of 2820240 is 420282.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 1140624 = 1296^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239 + ... + 2678.

2^2820240 is an apocalyptic number.

2820240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820240 is an abundant number, since it is smaller than the sum of its proper divisors (6653484).

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

2820240 is a wasteful number, since it uses less digits than its factorization.

2820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2820240 is about 1679.3570198144. The cubic root of 2820240 is about 141.2847722887.

The spelling of 2820240 in words is "two million, eight hundred twenty thousand, two hundred forty".