2442048 has 112 divisors (see below), whose sum is σ = 7802880. Its totient is φ = 658944.

The previous prime is 2442047. The next prime is 2442059. The reversal of 2442048 is 8402442.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30873 + ... + 30951.

2^2442048 is an apocalyptic number.

2442048 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 2442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901440).

2442048 is an abundant number, since it is smaller than the sum of its proper divisors (5360832).

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

2442048 is a wasteful number, since it uses less digits than its factorization.

2442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2442048 is about 1562.7053465065. The cubic root of 2442048 is about 134.6639653523.

The spelling of 2442048 in words is "two million, four hundred forty-two thousand, forty-eight".