2226141474700 has 288 divisors, whose sum is σ = 5746142223360. Its totient is φ = 737942400000.

The previous prime is 2226141474679. The next prime is 2226141474701. The reversal of 2226141474700 is 74741416222.

It is not an unprimeable number, because it can be changed into a prime (2226141474701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634045945 + ... + 634049455.

It is an arithmetic number, because the mean of its divisors is an integer number (19951882720).

Almost surely, 2^{2226141474700} is an apocalyptic number.

2226141474700 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 2226141474700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873071111680).

2226141474700 is an abundant number, since it is smaller than the sum of its proper divisors (3520000748660).

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

2226141474700 is a wasteful number, since it uses less digits than its factorization.

2226141474700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 2226141474700 in words is "two trillion, two hundred twenty-six billion, one hundred forty-one million, four hundred seventy-four thousand, seven hundred".