2241368448 has 128 divisors (see below), whose sum is σ = 6704778240. Its totient is φ = 657254400.

The previous prime is 2241368429. The next prime is 2241368449. The reversal of 2241368448 is 8448631422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241368449) 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, 122386 + ... + 139502.

It is an arithmetic number, because the mean of its divisors is an integer number (52381080).

Almost surely, 2^2241368448 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 2241368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352389120).

2241368448 is an abundant number, since it is smaller than the sum of its proper divisors (4463409792).

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

2241368448 is a wasteful number, since it uses less digits than its factorization.

2241368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17164 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 2241368448 is about 47343.0929281136. The cubic root of 2241368448 is about 1308.6929153205.

The spelling of 2241368448 in words is "two billion, two hundred forty-one million, three hundred sixty-eight thousand, four hundred forty-eight".