2048920225 has 27 divisors (see below), whose sum is σ = 2796024819. Its totient is φ = 1488313200.

The previous prime is 2048920219. The next prime is 2048920229. The reversal of 2048920225 is 5220298402.

The square root of 2048920225 is 45265.

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

It can be written as a sum of positive squares in only one way, i.e., 737611281 + 1311308944 = 27159^2 + 36212^2 .

It is not a de Polignac number, because 2048920225 - 2²³ = 2040531617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2048920229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2489164 + ... + 2489986.

Almost surely, 2^2048920225 is an apocalyptic number.

2048920225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2048920225 is the 45265-th square number.

2048920225 is the 22633-rd centered octagonal number.

It is an amenable number.

2048920225 is a deficient number, since it is larger than the sum of its proper divisors (747104594).

2048920225 is an frugal number, since it uses more digits than its factorization.

2048920225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 2048920225 is about 1270.1110170172. Note that the first 3 decimals are identical.

The spelling of 2048920225 in words is "two billion, forty-eight million, nine hundred twenty thousand, two hundred twenty-five".