2705436828001 has 8 divisors (see below), whose sum is σ = 2727956991744. Its totient is φ = 2682956844960.

The previous prime is 2705436827993. The next prime is 2705436828049. The reversal of 2705436828001 is 1008286345072.

2705436828001 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 2705436828001 - 2³ = 2705436827993 is a prime.

It is a super-2 number, since 2×2705436828001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2705436898001) 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, 9909945 + ... + 10179286.

It is an arithmetic number, because the mean of its divisors is an integer number (340994623968).

Almost surely, 2^{2705436828001} is an apocalyptic number.

It is an amenable number.

2705436828001 is a deficient number, since it is larger than the sum of its proper divisors (22520163743).

2705436828001 is a wasteful number, since it uses less digits than its factorization.

2705436828001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090351.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 2705436828001 in words is "two trillion, seven hundred five billion, four hundred thirty-six million, eight hundred twenty-eight thousand, one".