2738829713481 has 27 divisors (see below), whose sum is σ = 4050544711239. Its totient is φ = 1783284984432.

The previous prime is 2738829713461. The next prime is 2738829713527. The reversal of 2738829713481 is 1843179288372.

The square root of 2738829713481 is 1654941.

It is a perfect power (a square), and thus also a powerful number.

2738829713481 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 82 + 9 + 71 + 3 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2151675325881 + 587154387600 = 1466859^2 + 766260^2 .

It is not a de Polignac number, because 2738829713481 - 2⁵ = 2738829713449 is a prime.

It is a super-2 number, since 2×2738829713481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2738829713401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213480975 + ... + 213493803.

Almost surely, 2^{2738829713481} is an apocalyptic number.

2738829713481 is the 1654941-st square number.

2738829713481 is the 827471-st centered octagonal number.

It is an amenable number.

2738829713481 is a deficient number, since it is larger than the sum of its proper divisors (1311714997758).

2738829713481 is an frugal number, since it uses more digits than its factorization.

2738829713481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25750 (or 12875 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 2738829713481 in words is "two trillion, seven hundred thirty-eight billion, eight hundred twenty-nine million, seven hundred thirteen thousand, four hundred eighty-one".