2229545241600 has 1584 divisors, whose sum is σ = 8355611635200. Its totient is φ = 523238768640.

The previous prime is 2229545241503. The next prime is 2229545241613. The reversal of 2229545241600 is 61425459222.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37788902371 + ... + 37788902429.

Almost surely, 2^{2229545241600} is an apocalyptic number.

2229545241600 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 2229545241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177805817600).

2229545241600 is an abundant number, since it is smaller than the sum of its proper divisors (6126066393600).

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

2229545241600 is a wasteful number, since it uses less digits than its factorization.

2229545241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2229545241600 in words is "two trillion, two hundred twenty-nine billion, five hundred forty-five million, two hundred forty-one thousand, six hundred".