2779772580225 has 81 divisors (see below), whose sum is σ = 5105162675977. Its totient is φ = 1445852208000.

The previous prime is 2779772580199. The next prime is 2779772580229. The reversal of 2779772580225 is 5220852779772.

The square root of 2779772580225 is 1667265.

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

2779772580225 is a `hidden beast` number, since 2 + 77 + 97 + 7 + 258 + 0 + 225 = 666.

2779772580225 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 4 ways, for example, as 1170051092721 + 1609721487504 = 1081689^2 + 1268748^2 .

It is not a de Polignac number, because 2779772580225 - 2⁹ = 2779772579713 is a prime.

It is a super-2 number, since 2×2779772580225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2779772580229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1025366620 + ... + 1025369330.

Almost surely, 2^{2779772580225} is an apocalyptic number.

2779772580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2779772580225 is the 1667265-th square number.

2779772580225 is the 833633-rd centered octagonal number.

It is an amenable number.

2779772580225 is a deficient number, since it is larger than the sum of its proper divisors (2325390095752).

2779772580225 is an frugal number, since it uses more digits than its factorization.

2779772580225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 2779772580225 in words is "two trillion, seven hundred seventy-nine billion, seven hundred seventy-two million, five hundred eighty thousand, two hundred twenty-five".