2212045440 has 512 divisors, whose sum is σ = 8359822080. Its totient is φ = 491520000.

The previous prime is 2212045439. The next prime is 2212045463. The reversal of 2212045440 is 445402122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2212045440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21901390 + ... + 21901490.

Almost surely, 2^2212045440 is an apocalyptic number.

2212045440 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 2212045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179911040).

2212045440 is an abundant number, since it is smaller than the sum of its proper divisors (6147776640).

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

2212045440 is a wasteful number, since it uses less digits than its factorization.

2212045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2212045440 is about 47032.3871390768. The cubic root of 2212045440 is about 1302.9607939785.

Adding to 2212045440 its reverse (445402122), we get a palindrome (2657447562).

The spelling of 2212045440 in words is "two billion, two hundred twelve million, forty-five thousand, four hundred forty".