2243014004000 has 576 divisors, whose sum is σ = 7297892888832. Its totient is φ = 668709888000.

The previous prime is 2243014003999. The next prime is 2243014004003. The reversal of 2243014004000 is 4004103422.

It is a super-2 number, since 2×2243014004000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2243014004003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49565384 + ... + 49610616.

It is an arithmetic number, because the mean of its divisors is an integer number (12669952932).

Almost surely, 2^{2243014004000} is an apocalyptic number.

2243014004000 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 2243014004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648946444416).

2243014004000 is an abundant number, since it is smaller than the sum of its proper divisors (5054878884832).

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

2243014004000 is a wasteful number, since it uses less digits than its factorization.

2243014004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45306 (or 45281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2243014004000 its reverse (4004103422), we get a palindrome (2247018107422).

The spelling of 2243014004000 in words is "two trillion, two hundred forty-three billion, fourteen million, four thousand".