2429852256001 has 8 divisors (see below), whose sum is σ = 2473795231208. Its totient is φ = 2386041840000.

The previous prime is 2429852255989. The next prime is 2429852256031. The reversal of 2429852256001 is 1006522589242.

2429852256001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 147879471601 + 2281972784400 = 384551^2 + 1510620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2429852256001 - 2²¹ = 2429850158849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2429852256031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33102810 + ... + 33176131.

It is an arithmetic number, because the mean of its divisors is an integer number (309224403901).

Almost surely, 2^{2429852256001} is an apocalyptic number.

It is an amenable number.

2429852256001 is a deficient number, since it is larger than the sum of its proper divisors (43942975207).

2429852256001 is an equidigital number, since it uses as much as digits as its factorization.

2429852256001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66279603.

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 2429852256001 in words is "two trillion, four hundred twenty-nine billion, eight hundred fifty-two million, two hundred fifty-six thousand, one".