2268140625 has 63 divisors (see below), whose sum is σ = 4127701071. Its totient is φ = 1200150000.

The previous prime is 2268140603. The next prime is 2268140657. The reversal of 2268140625 is 5260418622.

It is a happy number.

The square root of 2268140625 is 47625.

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

2268140625 is a `hidden beast` number, since 2 + 26 + 8 + 1 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1987108929 + 281031696 = 44577^2 + 16764^2 .

It is not a de Polignac number, because 2268140625 - 2⁵ = 2268140593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2268140625.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 17859312 + ... + 17859438.

Almost surely, 2^2268140625 is an apocalyptic number.

2268140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2268140625 is the 47625-th square number.

2268140625 is the 23813-rd centered octagonal number.

It is an amenable number.

2268140625 is a deficient number, since it is larger than the sum of its proper divisors (1859560446).

2268140625 is an frugal number, since it uses more digits than its factorization.

2268140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 2268140625 is about 1313.8828961617.

Multiplying 2268140625 by its sum of digits (36), we get a square (81653062500 = 285750²).

The spelling of 2268140625 in words is "two billion, two hundred sixty-eight million, one hundred forty thousand, six hundred twenty-five".