2243520000 has 600 divisors, whose sum is σ = 8724675960. Its totient is φ = 552960000.

The previous prime is 2243519989. The next prime is 2243520001. The reversal of 2243520000 is 253422.

2243520000 = 270³ + 271³ + ... + 345³.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243520001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54719980 + ... + 54720020.

Almost surely, 2^2243520000 is an apocalyptic number.

2243520000 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 2243520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362337980).

2243520000 is an abundant number, since it is smaller than the sum of its proper divisors (6481155960).

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

2243520000 is an equidigital number, since it uses as much as digits as its factorization.

2243520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2243520000 is about 47365.8104543773. The cubic root of 2243520000 is about 1309.1115316617. Note that the first 3 decimals are identical.

Adding to 2243520000 its reverse (253422), we get a palindrome (2243773422).

The spelling of 2243520000 in words is "two billion, two hundred forty-three million, five hundred twenty thousand".