2282450625 has 225 divisors, whose sum is σ = 5204255199. Its totient is φ = 963144000.

The previous prime is 2282450593. The next prime is 2282450627. The reversal of 2282450625 is 5260542822.

The square root of 2282450625 is 47775.

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

2282450625 is a `hidden beast` number, since 2 + 2 + 8 + 24 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2254445361 + 28005264 = 47481^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2282450625 - 2⁵ = 2282450593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2282450625.

It is not an unprimeable number, because it can be changed into a prime (2282450627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 175573119 + ... + 175573131.

Almost surely, 2^2282450625 is an apocalyptic number.

2282450625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2282450625 is the 47775-th square number.

2282450625 is the 23888-th centered octagonal number.

It is an amenable number.

2282450625 is an abundant number, since it is smaller than the sum of its proper divisors (2921804574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2282450625 is an frugal number, since it uses more digits than its factorization.

2282450625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The cubic root of 2282450625 is about 1316.6402592222.

Multiplying 2282450625 by its sum of digits (36), we get a square (82168222500 = 286650²).

The spelling of 2282450625 in words is "two billion, two hundred eighty-two million, four hundred fifty thousand, six hundred twenty-five".