2226228480 has 432 divisors, whose sum is σ = 9272565120. Its totient is φ = 481738752.

The previous prime is 2226228449. The next prime is 2226228503. The reversal of 2226228480 is 848226222.

2226228480 is a `hidden beast` number, since 2 + 22 + 622 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×2226228480² = 9912186490326220800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1531434 + ... + 1532886.

Almost surely, 2^2226228480 is an apocalyptic number.

2226228480 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 2226228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636282560).

2226228480 is an abundant number, since it is smaller than the sum of its proper divisors (7046336640).

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

2226228480 is a wasteful number, since it uses less digits than its factorization.

2226228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2226228480 is about 47182.9257253087. The cubic root of 2226228480 is about 1305.7396080527.

The spelling of 2226228480 in words is "two billion, two hundred twenty-six million, two hundred twenty-eight thousand, four hundred eighty".