2228362560 has 336 divisors, whose sum is σ = 8148279360. Its totient is φ = 557383680.

The previous prime is 2228362547. The next prime is 2228362571. The reversal of 2228362560 is 652638222.

2228362560 is a `hidden beast` number, since 2 + 2 + 28 + 3 + 625 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10560855 + ... + 10561065.

Almost surely, 2^2228362560 is an apocalyptic number.

2228362560 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 2228362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074139680).

2228362560 is an abundant number, since it is smaller than the sum of its proper divisors (5919916800).

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

2228362560 is a wasteful number, since it uses less digits than its factorization.

2228362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2228362560 is about 47205.5352686526. The cubic root of 2228362560 is about 1306.1567055306.

The spelling of 2228362560 in words is "two billion, two hundred twenty-eight million, three hundred sixty-two thousand, five hundred sixty".