2728242 has 40 divisors (see below), whose sum is σ = 6673392. Its totient is φ = 826200.

The previous prime is 2728241. The next prime is 2728247. The reversal of 2728242 is 2428272.

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

It is not an unprimeable number, because it can be changed into a prime (2728241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1017 + ... + 2547.

2^2728242 is an apocalyptic number.

2728242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336696).

2728242 is an abundant number, since it is smaller than the sum of its proper divisors (3945150).

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

2728242 is a wasteful number, since it uses less digits than its factorization.

2728242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1547 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2728242 is about 1651.7390835117. The cubic root of 2728242 is about 139.7314921572.

The spelling of 2728242 in words is "two million, seven hundred twenty-eight thousand, two hundred forty-two".