2738213337601 has 12 divisors (see below), whose sum is σ = 3262958056260. Its totient is φ = 2289795123840.

The previous prime is 2738213337589. The next prime is 2738213337649. The reversal of 2738213337601 is 1067333128372.

2738213337601 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 2 ways, for example, as 601283930625 + 2136929406976 = 775425^2 + 1461824^2 .

It is not a de Polignac number, because 2738213337601 - 2²⁹ = 2737676466689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2738213332601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681484636 + ... + 681488653.

It is an arithmetic number, because the mean of its divisors is an integer number (271913171355).

Almost surely, 2^{2738213337601} is an apocalyptic number.

It is an amenable number.

2738213337601 is a deficient number, since it is larger than the sum of its proper divisors (524744718659).

2738213337601 is a wasteful number, since it uses less digits than its factorization.

2738213337601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362973344 (or 1362973337 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 2738213337601 in words is "two trillion, seven hundred thirty-eight billion, two hundred thirteen million, three hundred thirty-seven thousand, six hundred one".