2221205346 has 48 divisors (see below), whose sum is σ = 5134697568. Its totient is φ = 691516800.

The previous prime is 2221205309. The next prime is 2221205351. The reversal of 2221205346 is 6435021222.

It is a happy number.

2221205346 is a `hidden beast` number, since 2 + 2 + 2 + 120 + 534 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12381 + ... + 67791.

It is an arithmetic number, because the mean of its divisors is an integer number (106972866).

Almost surely, 2^2221205346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221205346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567348784).

2221205346 is an abundant number, since it is smaller than the sum of its proper divisors (2913492222).

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

2221205346 is a wasteful number, since it uses less digits than its factorization.

2221205346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55567 (or 55564 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2221205346 is about 47129.6652438780. The cubic root of 2221205346 is about 1304.7568032301.

Adding to 2221205346 its reverse (6435021222), we get a palindrome (8656226568).

The spelling of 2221205346 in words is "two billion, two hundred twenty-one million, two hundred five thousand, three hundred forty-six".