2332645344 has 384 divisors, whose sum is σ = 7664025600. Its totient is φ = 686776320.

The previous prime is 2332645291. The next prime is 2332645351. The reversal of 2332645344 is 4435462332.

2332645344 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 645 + 3 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2332645299 and 2332645308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21400362 + ... + 21400470.

It is an arithmetic number, because the mean of its divisors is an integer number (19958400).

Almost surely, 2^2332645344 is an apocalyptic number.

2332645344 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 2332645344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

2332645344 is an abundant number, since it is smaller than the sum of its proper divisors (5331380256).

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

2332645344 is a wasteful number, since it uses less digits than its factorization.

2332645344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 2332645344 is about 48297.4672627872. The cubic root of 2332645344 is about 1326.2220303456. Note that the first 3 decimals are identical.

The spelling of 2332645344 in words is "two billion, three hundred thirty-two million, six hundred forty-five thousand, three hundred forty-four".