2205429444 has 45 divisors (see below), whose sum is σ = 5767638877. Its totient is φ = 734861376.

The previous prime is 2205429383. The next prime is 2205429467. The reversal of 2205429444 is 4449245022.

The square root of 2205429444 is 46962.

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

2205429444 is a `hidden beast` number, since 2 + 20 + 542 + 94 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1060283844 + 1145145600 = 32562^2 + 33840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2205429399 and 2205429408.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 844012 + ... + 846620.

Almost surely, 2^2205429444 is an apocalyptic number.

2205429444 is the 46962-nd square number.

It is an amenable number.

2205429444 is an abundant number, since it is smaller than the sum of its proper divisors (3562209433).

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

2205429444 is an frugal number, since it uses more digits than its factorization.

2205429444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The cubic root of 2205429444 is about 1301.6604903809.

Multiplying 2205429444 by its sum of digits (36), we get a square (79395459984 = 281772²).

2205429444 divided by its sum of digits (36) gives a square (61261929 = 7827²).

It can be divided in two parts, 2205 and 429444, that added together give a square (431649 = 657²).

The spelling of 2205429444 in words is "two billion, two hundred five million, four hundred twenty-nine thousand, four hundred forty-four".