2374541568 has 648 divisors, whose sum is σ = 8905871520. Its totient is φ = 627056640.

The previous prime is 2374541531. The next prime is 2374541569. The reversal of 2374541568 is 8651454732.

2374541568 is a `hidden beast` number, since 2 + 3 + 7 + 45 + 41 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

Its product of digits (806400) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2374541569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57915628 + ... + 57915668.

It is a vampire number, since it can be written as 41328 ⋅ 57456 (with its own digits).

Almost surely, 2^2374541568 is an apocalyptic number.

2374541568 is a gapful number since it is divisible by the number (28) 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 2374541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452935760).

2374541568 is an abundant number, since it is smaller than the sum of its proper divisors (6531329952).

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

2374541568 is an equidigital number, since it uses as much as digits as its factorization.

2374541568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2374541568 is about 48729.2680839760. The cubic root of 2374541568 is about 1334.1149745771.

The spelling of 2374541568 in words is "two billion, three hundred seventy-four million, five hundred forty-one thousand, five hundred sixty-eight".