2242048000 has 208 divisors, whose sum is σ = 5826749760. Its totient is φ = 860160000.

The previous prime is 2242047991. The next prime is 2242048007. The reversal of 2242048000 is 8402422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242048007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14847925 + ... + 14848075.

It is an arithmetic number, because the mean of its divisors is an integer number (28013220).

Almost surely, 2^2242048000 is an apocalyptic number.

2242048000 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 2242048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913374880).

2242048000 is an abundant number, since it is smaller than the sum of its proper divisors (3584701760).

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

2242048000 is an equidigital number, since it uses as much as digits as its factorization.

2242048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2242048000 is about 47350.2692706177. The cubic root of 2242048000 is about 1308.8251611704.

The spelling of 2242048000 in words is "two billion, two hundred forty-two million, forty-eight thousand".