2674758849961 has 27 divisors (see below), whose sum is σ = 2961997500567. Its totient is φ = 2413559731440.

The previous prime is 2674758849947. The next prime is 2674758849967. The reversal of 2674758849961 is 1699488574762.

The square root of 2674758849961 is 1635469.

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

It can be written as a sum of positive squares in only one way, i.e., 784012848025 + 1890746001936 = 885445^2 + 1375044^2 .

It is not a de Polignac number, because 2674758849961 - 2¹¹ = 2674758847913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2674758849967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2824454490 + ... + 2824455436.

Almost surely, 2^{2674758849961} is an apocalyptic number.

2674758849961 is the 1635469-th square number.

2674758849961 is the 817735-th centered octagonal number.

It is an amenable number.

2674758849961 is a deficient number, since it is larger than the sum of its proper divisors (287238650606).

2674758849961 is an frugal number, since it uses more digits than its factorization.

2674758849961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 1115 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 76.

The spelling of 2674758849961 in words is "two trillion, six hundred seventy-four billion, seven hundred fifty-eight million, eight hundred forty-nine thousand, nine hundred sixty-one".