2220765625 has 63 divisors (see below), whose sum is σ = 3113104683. Its totient is φ = 1583400000.

The previous prime is 2220765611. The next prime is 2220765643. The reversal of 2220765625 is 5265670222.

The square root of 2220765625 is 47125.

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

It can be written as a sum of positive squares in 31 ways, for example, as 94249 + 2220671376 = 307^2 + 47124^2 .

It is not a de Polignac number, because 2220765625 - 2¹¹ = 2220763577 is a prime.

It is a super-2 number, since 2×2220765625² = 9863599922363281250, which contains 22 as substring.

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, 76578111 + ... + 76578139.

Almost surely, 2^2220765625 is an apocalyptic number.

2220765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2220765625 is the 47125-th square number.

2220765625 is the 23563-rd centered octagonal number.

It is an amenable number.

2220765625 is a deficient number, since it is larger than the sum of its proper divisors (892339058).

2220765625 is an frugal number, since it uses more digits than its factorization.

2220765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The cubic root of 2220765625 is about 1304.6706988048.

The spelling of 2220765625 in words is "two billion, two hundred twenty million, seven hundred sixty-five thousand, six hundred twenty-five".