2241144384 has 56 divisors (see below), whose sum is σ = 6010960800. Its totient is φ = 736809984.

The previous prime is 2241144383. The next prime is 2241144397. The reversal of 2241144384 is 4834411422.

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

It is not an unprimeable number, because it can be changed into a prime (2241144383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65934 + ... + 93965.

Almost surely, 2^2241144384 is an apocalyptic number.

2241144384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241144384 is an abundant number, since it is smaller than the sum of its proper divisors (3769816416).

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

2241144384 is a wasteful number, since it uses less digits than its factorization.

2241144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159987 (or 159977 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 2241144384 is about 47340.7264836525. The cubic root of 2241144384 is about 1308.6493049477.

It can be divided in two parts, 22411 and 44384, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 2241144384 in words is "two billion, two hundred forty-one million, one hundred forty-four thousand, three hundred eighty-four".