2241174144 has 128 divisors (see below), whose sum is σ = 6653223360. Its totient is φ = 662528000.

The previous prime is 2241174083. The next prime is 2241174149. The reversal of 2241174144 is 4414711422.

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

It is not an unprimeable number, because it can be changed into a prime (2241174149) 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, 166714 + ... + 179654.

Almost surely, 2^2241174144 is an apocalyptic number.

2241174144 is a gapful number since it is divisible by the number (24) 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 2241174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326611680).

2241174144 is an abundant number, since it is smaller than the sum of its proper divisors (4412049216).

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

2241174144 is a wasteful number, since it uses less digits than its factorization.

2241174144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 12998 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 2241174144 is about 47341.0407997120. The cubic root of 2241174144 is about 1308.6550974097.

Adding to 2241174144 its reverse (4414711422), we get a palindrome (6655885566).

The spelling of 2241174144 in words is "two billion, two hundred forty-one million, one hundred seventy-four thousand, one hundred forty-four".