2726444928025 has 243 divisors, whose sum is σ = 4518133440093. Its totient is φ = 1626361027200.

The previous prime is 2726444928017. The next prime is 2726444928029. The reversal of 2726444928025 is 5208294446272.

It is a happy number.

The square root of 2726444928025 is 1651195.

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

2726444928025 is digitally balanced in base 3, 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 702745213401 + 2023699714624 = 838299^2 + 1422568^2 .

It is not a de Polignac number, because 2726444928025 - 2³ = 2726444928017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2726444928029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14274580680 + ... + 14274580870.

Almost surely, 2^{2726444928025} is an apocalyptic number.

2726444928025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2726444928025 is the 1651195-th square number.

2726444928025 is the 825598-th centered octagonal number.

It is an amenable number.

2726444928025 is a deficient number, since it is larger than the sum of its proper divisors (1791688512068).

2726444928025 is a wasteful number, since it uses less digits than its factorization.

2726444928025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 2726444928025 in words is "two trillion, seven hundred twenty-six billion, four hundred forty-four million, nine hundred twenty-eight thousand, twenty-five".