2433168768 has 64 divisors (see below), whose sum is σ = 6470896320. Its totient is φ = 810078720.

The previous prime is 2433168763. The next prime is 2433168839. The reversal of 2433168768 is 8678613342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433168763) 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 7 ways as a sum of consecutive naturals, for example, 360303 + ... + 366993.

It is an arithmetic number, because the mean of its divisors is an integer number (101107755).

Almost surely, 2^2433168768 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 2433168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235448160).

2433168768 is an abundant number, since it is smaller than the sum of its proper divisors (4037727552).

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

2433168768 is an equidigital number, since it uses as much as digits as its factorization.

2433168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655 (or 7643 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 2433168768 is about 49327.1605507554. The cubic root of 2433168768 is about 1345.0055541660.

The spelling of 2433168768 in words is "two billion, four hundred thirty-three million, one hundred sixty-eight thousand, seven hundred sixty-eight".