2448668442 has 48 divisors (see below), whose sum is σ = 5397453216. Its totient is φ = 734472000.

The previous prime is 2448668429. The next prime is 2448668471.

2448668442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2448668391 and 2448668400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671448 + ... + 675084.

It is an arithmetic number, because the mean of its divisors is an integer number (112446942).

Almost surely, 2^2448668442 is an apocalyptic number.

2448668442 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 2448668442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698726608).

2448668442 is an abundant number, since it is smaller than the sum of its proper divisors (2948784774).

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

2448668442 is a wasteful number, since it uses less digits than its factorization.

2448668442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3754 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 2448668442 is about 49484.0220879427. The cubic root of 2448668442 is about 1347.8554780093.

The spelling of 2448668442 in words is "two billion, four hundred forty-eight million, six hundred sixty-eight thousand, four hundred forty-two".