2260224000000 has 1050 divisors, whose sum is σ = 8518031006870. Its totient is φ = 597196800000.

The previous prime is 2260223999993. The next prime is 2260224000029. The reversal of 2260224000000 is 4220622.

It is a happy number.

2260224000000 is a `hidden beast` number, since 2 + 260 + 2 + 2 + 400 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2249712009216 + 10511990784 = 1499904^2 + 102528^2 .

It is a super-2 number, since 2×2260224000000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 20735999946 + ... + 20736000054.

Almost surely, 2^{2260224000000} is an apocalyptic number.

2260224000000 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 2260224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259015503435).

2260224000000 is an abundant number, since it is smaller than the sum of its proper divisors (6257807006870).

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

2260224000000 is an frugal number, since it uses more digits than its factorization.

2260224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2260224000000 its reverse (4220622), we get a palindrome (2260228220622).

The spelling of 2260224000000 in words is "two trillion, two hundred sixty billion, two hundred twenty-four million", and thus it is an aban number.