2677631504409 has 9 divisors (see below), whose sum is σ = 3867697041663. Its totient is φ = 1785084396912.

The previous prime is 2677631504407. The next prime is 2677631504477. The reversal of 2677631504409 is 9044051367762.

The square root of 2677631504409 is 1636347.

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

2677631504409 is a `hidden beast` number, since 2 + 6 + 77 + 63 + 1 + 504 + 4 + 0 + 9 = 666.

2677631504409 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 only one way, i.e., 1083674754009 + 1593956750400 = 1040997^2 + 1262520^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2677631504409 - 2¹ = 2677631504407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2677631504407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4636317 + ... + 5181765.

Almost surely, 2^{2677631504409} is an apocalyptic number.

2677631504409 is the 1636347-th square number.

2677631504409 is the 818174-th centered octagonal number.

It is an amenable number.

2677631504409 is a deficient number, since it is larger than the sum of its proper divisors (1190065537254).

2677631504409 is an frugal number, since it uses more digits than its factorization.

2677631504409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090904 (or 545452 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2677631504409 in words is "two trillion, six hundred seventy-seven billion, six hundred thirty-one million, five hundred four thousand, four hundred nine".