2243856384 has 768 divisors, whose sum is σ = 9057484800. Its totient is φ = 530841600.

The previous prime is 2243856383. The next prime is 2243856413. The reversal of 2243856384 is 4836583422.

2243856384 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 8 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (2243856383) 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 63 ways as a sum of consecutive naturals, for example, 72382449 + ... + 72382479.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^2243856384 is an apocalyptic number.

2243856384 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 2243856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2243856384 is an abundant number, since it is smaller than the sum of its proper divisors (6813628416).

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

2243856384 is a wasteful number, since it uses less digits than its factorization.

2243856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2243856384 is about 47369.3612369852. The cubic root of 2243856384 is about 1309.1769559602.

The spelling of 2243856384 in words is "two billion, two hundred forty-three million, eight hundred fifty-six thousand, three hundred eighty-four".