2429792768 has 60 divisors (see below), whose sum is σ = 5257203138. Its totient is φ = 1121402880.

The previous prime is 2429792767. The next prime is 2429792773. The reversal of 2429792768 is 8672979242.

It can be written as a sum of positive squares in 3 ways, for example, as 901921024 + 1527871744 = 30032^2 + 39088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429792767) 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 5 ways as a sum of consecutive naturals, for example, 72488 + ... + 100568.

Almost surely, 2^2429792768 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 2429792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628601569).

2429792768 is an abundant number, since it is smaller than the sum of its proper divisors (2827410370).

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

2429792768 is an equidigital number, since it uses as much as digits as its factorization.

2429792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28125 (or 28096 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 56.

The square root of 2429792768 is about 49292.9281743335. The cubic root of 2429792768 is about 1344.3832051659.

The spelling of 2429792768 in words is "two billion, four hundred twenty-nine million, seven hundred ninety-two thousand, seven hundred sixty-eight".