2085566224 has 75 divisors (see below), whose sum is σ = 4734286613. Its totient is φ = 889977984.

The previous prime is 2085566221. The next prime is 2085566227. The reversal of 2085566224 is 4226655802.

The square root of 2085566224 is 45668.

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

It is an interprime number because it is at equal distance from previous prime (2085566221) and next prime (2085566227).

It can be written as a sum of positive squares in only one way, i.e., 423536400 + 1662029824 = 20580^2 + 40768^2 .

It is not an unprimeable number, because it can be changed into a prime (2085566221) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8950812 + ... + 8951044.

Almost surely, 2^2085566224 is an apocalyptic number.

2085566224 is the 45668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085566224

2085566224 is an abundant number, since it is smaller than the sum of its proper divisors (2648720389).

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

2085566224 is an frugal number, since it uses more digits than its factorization.

2085566224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The cubic root of 2085566224 is about 1277.6385137857.

Multiplying 2085566224 by its product of nonzero digits (230400), we get a square (480514458009600 = 21920640²).

The spelling of 2085566224 in words is "two billion, eighty-five million, five hundred sixty-six thousand, two hundred twenty-four".