2228157360 has 960 divisors, whose sum is σ = 9944363520. Its totient is φ = 437944320.

The previous prime is 2228157311. The next prime is 2228157403. The reversal of 2228157360 is 637518222.

2228157360 is a `hidden beast` number, since 2 + 2 + 2 + 81 + 573 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33256047 + ... + 33256113.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

It is a vampire number, since it can be written as 26130 ⋅ 85272 (with its own digits).

Almost surely, 2^2228157360 is an apocalyptic number.

2228157360 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 2228157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2228157360 is an abundant number, since it is smaller than the sum of its proper divisors (7716206160).

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

2228157360 is a wasteful number, since it uses less digits than its factorization.

2228157360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2228157360 is about 47203.3617446893. The cubic root of 2228157360 is about 1306.1166115788.

The spelling of 2228157360 in words is "two billion, two hundred twenty-eight million, one hundred fifty-seven thousand, three hundred sixty".