2221252440 has 128 divisors (see below), whose sum is σ = 7308057600. Its totient is φ = 535633920.

The previous prime is 2221252433. The next prime is 2221252447. The reversal of 2221252440 is 442521222.

It is an interprime number because it is at equal distance from previous prime (2221252433) and next prime (2221252447).

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 2221252440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221252447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250401 + ... + 259119.

It is an arithmetic number, because the mean of its divisors is an integer number (57094200).

Almost surely, 2^2221252440 is an apocalyptic number.

2221252440 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 2221252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654028800).

2221252440 is an abundant number, since it is smaller than the sum of its proper divisors (5086805160).

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

2221252440 is a wasteful number, since it uses less digits than its factorization.

2221252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8937 (or 8933 counting only the distinct ones).

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

The square root of 2221252440 is about 47130.1648628561. The cubic root of 2221252440 is about 1304.7660243170.

Adding to 2221252440 its reverse (442521222), we get a palindrome (2663773662).

The spelling of 2221252440 in words is "two billion, two hundred twenty-one million, two hundred fifty-two thousand, four hundred forty".