2241606528000 has 2816 divisors, whose sum is σ = 10136875008000. Its totient is φ = 487710720000.

The previous prime is 2241606527987. The next prime is 2241606528001. The reversal of 2241606528000 is 8256061422.

It is a happy number.

2241606528000 is a `hidden beast` number, since 2 + 2 + 41 + 606 + 5 + 2 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2241606528001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36747647970 + ... + 36747648030.

Almost surely, 2^{2241606528000} is an apocalyptic number.

2241606528000 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 2241606528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068437504000).

2241606528000 is an abundant number, since it is smaller than the sum of its proper divisors (7895268480000).

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

2241606528000 is an equidigital number, since it uses as much as digits as its factorization.

2241606528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2241606528000 in words is "two trillion, two hundred forty-one billion, six hundred six million, five hundred twenty-eight thousand".