2226506480 has 120 divisors (see below), whose sum is σ = 5776619856. Its totient is φ = 797322240.

The previous prime is 2226506453. The next prime is 2226506483. The reversal of 2226506480 is 846056222.

It is a super-2 number, since 2×2226506480² = 9914662210963980800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2226506480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226506483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646844 + ... + 650276.

Almost surely, 2^2226506480 is an apocalyptic number.

2226506480 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 2226506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888309928).

2226506480 is an abundant number, since it is smaller than the sum of its proper divisors (3550113376).

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

2226506480 is a wasteful number, since it uses less digits than its factorization.

2226506480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2226506480 is about 47185.8716142873. The cubic root of 2226506480 is about 1305.7939571466.

The spelling of 2226506480 in words is "two billion, two hundred twenty-six million, five hundred six thousand, four hundred eighty".