2212305440 has 48 divisors (see below), whose sum is σ = 5241765312. Its totient is φ = 882349824.

The previous prime is 2212305437. The next prime is 2212305449. The reversal of 2212305440 is 445032122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2212305449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35597 + ... + 75443.

It is an arithmetic number, because the mean of its divisors is an integer number (109203444).

Almost surely, 2^2212305440 is an apocalyptic number.

2212305440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620882656).

2212305440 is an abundant number, since it is smaller than the sum of its proper divisors (3029459872).

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

2212305440 is a wasteful number, since it uses less digits than its factorization.

2212305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40209 (or 40201 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2212305440 is about 47035.1511106321. The cubic root of 2212305440 is about 1303.0118412322.

Adding to 2212305440 its reverse (445032122), we get a palindrome (2657337562).

The spelling of 2212305440 in words is "two billion, two hundred twelve million, three hundred five thousand, four hundred forty".