2378344752 has 360 divisors, whose sum is σ = 8186864400. Its totient is φ = 641700864.

The previous prime is 2378344751. The next prime is 2378344753. The reversal of 2378344752 is 2574438732.

2378344752 is a `hidden beast` number, since 237 + 8 + 344 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2378344751) and next prime (2378344753).

It is a junction number, because it is equal to n+sod(n) for n = 2378344698 and 2378344707.

It is not an unprimeable number, because it can be changed into a prime (2378344751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12072718 + ... + 12072914.

It is an arithmetic number, because the mean of its divisors is an integer number (22741290).

Almost surely, 2^2378344752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378344752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093432200).

2378344752 is an abundant number, since it is smaller than the sum of its proper divisors (5808519648).

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

2378344752 is a wasteful number, since it uses less digits than its factorization.

2378344752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2378344752 is about 48768.2760818957. The cubic root of 2378344752 is about 1334.8268563061.

The spelling of 2378344752 in words is "two billion, three hundred seventy-eight million, three hundred forty-four thousand, seven hundred fifty-two".