2442968 has 64 divisors (see below), whose sum is σ = 5598720. Its totient is φ = 985600.

The previous prime is 2442967. The next prime is 2442971. The reversal of 2442968 is 8692442.

It is a Cunningham number, because it is equal to 1563²-1.

It is an Ulam number.

Its product of digits (27648) is a multiple of the sum of its prime factors (128).

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34373 + ... + 34443.

It is an arithmetic number, because the mean of its divisors is an integer number (87480).

2^2442968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799360).

2442968 is an abundant number, since it is smaller than the sum of its proper divisors (3155752).

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

2442968 is a wasteful number, since it uses less digits than its factorization.

2442968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 2442968 is about 1562.9996801023. Note that the first 3 decimals coincide. The cubic root of 2442968 is about 134.6808740144.

The spelling of 2442968 in words is "two million, four hundred forty-two thousand, nine hundred sixty-eight".