2228116728960 has 384 divisors, whose sum is σ = 7809705072000. Its totient is φ = 585242542080.

The previous prime is 2228116728941. The next prime is 2228116728979. The reversal of 2228116728960 is 698276118222.

2228116728960 is a `hidden beast` number, since 22 + 281 + 1 + 6 + 7 + 289 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2228116728941) and next prime (2228116728979).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2228116728897 and 2228116728906.

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, 608939611 + ... + 608943269.

It is an arithmetic number, because the mean of its divisors is an integer number (20337773625).

Almost surely, 2^{2228116728960} is an apocalyptic number.

2228116728960 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 2228116728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904852536000).

2228116728960 is an abundant number, since it is smaller than the sum of its proper divisors (5581588343040).

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

2228116728960 is a wasteful number, since it uses less digits than its factorization.

2228116728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2228116728960 in words is "two trillion, two hundred twenty-eight billion, one hundred sixteen million, seven hundred twenty-eight thousand, nine hundred sixty".