2580774777441 has 81 divisors (see below), whose sum is σ = 4368554087859. Its totient is φ = 1463875072128.

The previous prime is 2580774777433. The next prime is 2580774777467. The reversal of 2580774777441 is 1447774770852.

The square root of 2580774777441 is 1606479.

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

2580774777441 is a `hidden beast` number, since 2 + 5 + 80 + 7 + 7 + 47 + 77 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 695931350625 + 1884843426816 = 834225^2 + 1372896^2 .

It is not a de Polignac number, because 2580774777441 - 2³ = 2580774777433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2580774777421) 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 80 ways as a sum of consecutive naturals, for example, 7658085225 + ... + 7658085561.

Almost surely, 2^{2580774777441} is an apocalyptic number.

2580774777441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2580774777441 is the 1606479-th square number.

2580774777441 is the 803240-th centered octagonal number.

It is an amenable number.

2580774777441 is a deficient number, since it is larger than the sum of its proper divisors (1787779310418).

2580774777441 is an frugal number, since it uses more digits than its factorization.

2580774777441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 86051840, while the sum is 63.

The spelling of 2580774777441 in words is "two trillion, five hundred eighty billion, seven hundred seventy-four million, seven hundred seventy-seven thousand, four hundred forty-one".