2671503382449 has 48 divisors (see below), whose sum is σ = 4228494865920. Its totient is φ = 1611844350720.

The previous prime is 2671503382433. The next prime is 2671503382469. The reversal of 2671503382449 is 9442833051762.

2671503382449 is a `hidden beast` number, since 2 + 6 + 71 + 50 + 3 + 3 + 82 + 449 = 666.

It is not a de Polignac number, because 2671503382449 - 2⁴ = 2671503382433 is a prime.

It is a super-3 number, since 3×2671503382449³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2671503382395 and 2671503382404.

It is not an unprimeable number, because it can be changed into a prime (2671503382409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241344487 + ... + 241355555.

It is an arithmetic number, because the mean of its divisors is an integer number (88093643040).

It is a 1-persistent number, because it is pandigital, but 2⋅2671503382449 = 5343006764898 is not.

Almost surely, 2^{2671503382449} is an apocalyptic number.

It is an amenable number.

2671503382449 is a deficient number, since it is larger than the sum of its proper divisors (1556991483471).

2671503382449 is a wasteful number, since it uses less digits than its factorization.

2671503382449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21782 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2671503382449 in words is "two trillion, six hundred seventy-one billion, five hundred three million, three hundred eighty-two thousand, four hundred forty-nine".