2242240000 has 600 divisors, whose sum is σ = 7650869688. Its totient is φ = 645120000.

The previous prime is 2242239983. The next prime is 2242240001. The reversal of 2242240000 is 422422.

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 (2242240001) 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 59 ways as a sum of consecutive naturals, for example, 172479994 + ... + 172480006.

Almost surely, 2^2242240000 is an apocalyptic number.

2242240000 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 2242240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825434844).

2242240000 is an abundant number, since it is smaller than the sum of its proper divisors (5408629688).

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

2242240000 is an equidigital number, since it uses as much as digits as its factorization.

2242240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2242240000 is about 47352.2966708057. The cubic root of 2242240000 is about 1308.8625209501.

Adding to 2242240000 its reverse (422422), we get a palindrome (2242662422).

It can be divided in two parts, 2242 and 240000, that added together give a palindrome (242242).

The spelling of 2242240000 in words is "two billion, two hundred forty-two million, two hundred forty thousand".