226408784580 has 1440 divisors, whose sum is σ = 887653831680. Its totient is φ = 48037017600.

The previous prime is 226408784551. The next prime is 226408784663. The reversal of 226408784580 is 85487804622.

226408784580 is a `hidden beast` number, since 226 + 408 + 7 + 8 + 4 + 5 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4271863834 + ... + 4271863886.

It is an arithmetic number, because the mean of its divisors is an integer number (616426272).

Almost surely, 2^226408784580 is an apocalyptic number.

226408784580 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 226408784580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443826915840).

226408784580 is an abundant number, since it is smaller than the sum of its proper divisors (661245047100).

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

226408784580 is a wasteful number, since it uses less digits than its factorization.

226408784580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 226408784580 in words is "two hundred twenty-six billion, four hundred eight million, seven hundred eighty-four thousand, five hundred eighty".