2827242 has 48 divisors (see below), whose sum is σ = 6795360. Its totient is φ = 842400.

The previous prime is 2827241. The next prime is 2827267. The reversal of 2827242 is 2427282.

Its product of digits (3584) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (2827241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21517 + ... + 21647.

It is an arithmetic number, because the mean of its divisors is an integer number (141570).

2^2827242 is an apocalyptic number.

2827242 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 2827242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397680).

2827242 is an abundant number, since it is smaller than the sum of its proper divisors (3968118).

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

2827242 is a wasteful number, since it uses less digits than its factorization.

2827242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

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

The square root of 2827242 is about 1681.4404538966. The cubic root of 2827242 is about 141.4016013988.

The spelling of 2827242 in words is "two million, eight hundred twenty-seven thousand, two hundred forty-two".