226742302080 has 960 divisors, whose sum is σ = 983146934880. Its totient is φ = 49560698880.

The previous prime is 226742301983. The next prime is 226742302093. The reversal of 226742302080 is 80203247622.

It is a happy number.

226742302080 is a `hidden beast` number, since 2 + 26 + 7 + 423 + 0 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58421740 + ... + 58425620.

Almost surely, 2^226742302080 is an apocalyptic number.

226742302080 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 226742302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491573467440).

226742302080 is an abundant number, since it is smaller than the sum of its proper divisors (756404632800).

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

226742302080 is a wasteful number, since it uses less digits than its factorization.

226742302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 226742302080 in words is "two hundred twenty-six billion, seven hundred forty-two million, three hundred two thousand, eighty".