2838240 has 144 divisors (see below), whose sum is σ = 10181808. Its totient is φ = 746496.

The previous prime is 2838217. The next prime is 2838247. The reversal of 2838240 is 428382.

2838240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838247) 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 23 ways as a sum of consecutive naturals, for example, 38844 + ... + 38916.

It is an arithmetic number, because the mean of its divisors is an integer number (70707).

2^2838240 is an apocalyptic number.

2838240 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 2838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090904).

2838240 is an abundant number, since it is smaller than the sum of its proper divisors (7343568).

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

2838240 is an equidigital number, since it uses as much as digits as its factorization.

2838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2838240 is about 1684.7076897789. The cubic root of 2838240 is about 141.5847153855.

The spelling of 2838240 in words is "two million, eight hundred thirty-eight thousand, two hundred forty".