2774986257241 has 27 divisors (see below), whose sum is σ = 3069629796639. Its totient is φ = 2506739479200.

The previous prime is 2774986257209. The next prime is 2774986257283. The reversal of 2774986257241 is 1427526894772.

The square root of 2774986257241 is 1665829.

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., 7288207641 + 2767698049600 = 85371^2 + 1663640^2 .

It is not a de Polignac number, because 2774986257241 - 2⁵ = 2774986257209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2774986255241) 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, 3646499301 + ... + 3646500061.

Almost surely, 2^{2774986257241} is an apocalyptic number.

2774986257241 is the 1665829-th square number.

2774986257241 is the 832915-th centered octagonal number.

It is an amenable number.

2774986257241 is a deficient number, since it is larger than the sum of its proper divisors (294643539398).

2774986257241 is an frugal number, since it uses more digits than its factorization.

2774986257241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 971 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 64.

Multiplying 2774986257241 by its sum of digits (64), we get a square (177599120463424 = 13326632²).

The spelling of 2774986257241 in words is "two trillion, seven hundred seventy-four billion, nine hundred eighty-six million, two hundred fifty-seven thousand, two hundred forty-one".