2221001440 has 288 divisors, whose sum is σ = 6484484160. Its totient is φ = 715309056.

The previous prime is 2221001437. The next prime is 2221001441. The reversal of 2221001440 is 441001222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221001441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19654824 + ... + 19654936.

It is an arithmetic number, because the mean of its divisors is an integer number (22515570).

Almost surely, 2^2221001440 is an apocalyptic number.

2221001440 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 2221001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242242080).

2221001440 is an abundant number, since it is smaller than the sum of its proper divisors (4263482720).

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

2221001440 is a wasteful number, since it uses less digits than its factorization.

2221001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2221001440 is about 47127.5019494987. The cubic root of 2221001440 is about 1304.7168765776.

Adding to 2221001440 its reverse (441001222), we get a palindrome (2662002662).

The spelling of 2221001440 in words is "two billion, two hundred twenty-one million, one thousand, four hundred forty".