2741634828801 has 72 divisors (see below), whose sum is σ = 4455281999168. Its totient is φ = 1622528107200.

The previous prime is 2741634828773. The next prime is 2741634828853. The reversal of 2741634828801 is 1088284361472.

2741634828801 is a `hidden beast` number, since 2 + 7 + 4 + 16 + 348 + 288 + 0 + 1 = 666.

It is not a de Polignac number, because 2741634828801 - 2⁵ = 2741634828769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2741634828871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319496331 + ... + 319504911.

Almost surely, 2^{2741634828801} is an apocalyptic number.

It is an amenable number.

2741634828801 is a deficient number, since it is larger than the sum of its proper divisors (1713647170367).

2741634828801 is a wasteful number, since it uses less digits than its factorization.

2741634828801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15475 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2741634828801 in words is "two trillion, seven hundred forty-one billion, six hundred thirty-four million, eight hundred twenty-eight thousand, eight hundred one".