2738162106349 has 32 divisors (see below), whose sum is σ = 3185375880960. Its totient is φ = 2334671539200.

The previous prime is 2738162106319. The next prime is 2738162106353. The reversal of 2738162106349 is 9436012618372.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2738162106349 - 2⁷ = 2738162106221 is a prime.

It is a super-2 number, since 2×2738162106349² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2738162106296 and 2738162106305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738162106319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28337979 + ... + 28434439.

It is an arithmetic number, because the mean of its divisors is an integer number (99542996280).

Almost surely, 2^{2738162106349} is an apocalyptic number.

It is an amenable number.

2738162106349 is a deficient number, since it is larger than the sum of its proper divisors (447213774611).

2738162106349 is a wasteful number, since it uses less digits than its factorization.

2738162106349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100341.

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 2738162106349 in words is "two trillion, seven hundred thirty-eight billion, one hundred sixty-two million, one hundred six thousand, three hundred forty-nine".