2283680104225 has 81 divisors (see below), whose sum is σ = 3121793178777. Its totient is φ = 1656452191680.

The previous prime is 2283680104213. The next prime is 2283680104259. The reversal of 2283680104225 is 5224010863822.

The square root of 2283680104225 is 1511185.

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

It can be written as a sum of positive squares in 4 ways, for example, as 588621925089 + 1695058179136 = 767217^2 + 1301944^2 .

It is not a de Polignac number, because 2283680104225 - 2³³ = 2275090169633 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6581210502 + ... + 6581210848.

Almost surely, 2^{2283680104225} is an apocalyptic number.

2283680104225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2283680104225 is the 1511185-th square number.

2283680104225 is the 755593-rd centered octagonal number.

It is an amenable number.

2283680104225 is a deficient number, since it is larger than the sum of its proper divisors (838113074552).

2283680104225 is an frugal number, since it uses more digits than its factorization.

2283680104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 2283680104225 in words is "two trillion, two hundred eighty-three billion, six hundred eighty million, one hundred four thousand, two hundred twenty-five".