2382364224 has 168 divisors, whose sum is σ = 7498921248. Its totient is φ = 747325440.

The previous prime is 2382364213. The next prime is 2382364249. The reversal of 2382364224 is 4224632832.

2382364224 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 3 + 642 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 259879 + ... + 268889.

It is an arithmetic number, because the mean of its divisors is an integer number (44636436).

Almost surely, 2^2382364224 is an apocalyptic number.

2382364224 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 2382364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749460624).

2382364224 is an abundant number, since it is smaller than the sum of its proper divisors (5116557024).

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

2382364224 is an equidigital number, since it uses as much as digits as its factorization.

2382364224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9033 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2382364224 is about 48809.4685896087. The cubic root of 2382364224 is about 1335.5783985289.

The spelling of 2382364224 in words is "two billion, three hundred eighty-two million, three hundred sixty-four thousand, two hundred twenty-four".