2442888 has 96 divisors (see below), whose sum is σ = 7824960. Its totient is φ = 673920.

The previous prime is 2442871. The next prime is 2442889. The reversal of 2442888 is 8882442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2442889) 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, 18583 + ... + 18713.

It is an arithmetic number, because the mean of its divisors is an integer number (81510).

2^2442888 is an apocalyptic number.

2442888 is a gapful number since it is divisible by the number (28) 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 2442888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912480).

2442888 is an abundant number, since it is smaller than the sum of its proper divisors (5382072).

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

2442888 is a wasteful number, since it uses less digits than its factorization.

2442888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2442888 is about 1562.9740880770. The cubic root of 2442888 is about 134.6794038645.

The spelling of 2442888 in words is "two million, four hundred forty-two thousand, eight hundred eighty-eight".