2830240 has 108 divisors (see below), whose sum is σ = 8209026. Its totient is φ = 919296.

The previous prime is 2830237. The next prime is 2830249. The reversal of 2830240 is 420382.

It is a happy number.

2830240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 283024 = 1596^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2830249) 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 17 ways as a sum of consecutive naturals, for example, 148951 + ... + 148969.

2^2830240 is an apocalyptic number.

2830240 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 2830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104513).

2830240 is an abundant number, since it is smaller than the sum of its proper divisors (5378786).

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

2830240 is a wasteful number, since it uses less digits than its factorization.

2830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2830240 is about 1682.3317152096. The cubic root of 2830240 is about 141.4515643718.

The spelling of 2830240 in words is "two million, eight hundred thirty thousand, two hundred forty".