2279585025 has 45 divisors (see below), whose sum is σ = 4226563033. Its totient is φ = 1214632800.

The previous prime is 2279585017. The next prime is 2279585071. The reversal of 2279585025 is 5205859722.

The square root of 2279585025 is 47745.

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

2279585025 is a `hidden beast` number, since 22 + 79 + 58 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 859329 + 2278725696 = 927^2 + 47736^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2279585025 - 2³ = 2279585017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2147995 + ... + 2149055.

Almost surely, 2^2279585025 is an apocalyptic number.

2279585025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2279585025 is the 47745-th square number.

2279585025 is the 23873-rd centered octagonal number.

It is an amenable number.

2279585025 is a deficient number, since it is larger than the sum of its proper divisors (1946978008).

2279585025 is an frugal number, since it uses more digits than its factorization.

2279585025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The cubic root of 2279585025 is about 1316.0890177387.

The spelling of 2279585025 in words is "two billion, two hundred seventy-nine million, five hundred eighty-five thousand, twenty-five".