2228117760 has 288 divisors, whose sum is σ = 8626988160. Its totient is φ = 540057600.

The previous prime is 2228117737. The next prime is 2228117779. The reversal of 2228117760 is 677118222.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377230 + ... + 383090.

It is an arithmetic number, because the mean of its divisors is an integer number (29954820).

Almost surely, 2^2228117760 is an apocalyptic number.

2228117760 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 2228117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313494080).

2228117760 is an abundant number, since it is smaller than the sum of its proper divisors (6398870400).

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

2228117760 is a wasteful number, since it uses less digits than its factorization.

2228117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2228117760 is about 47202.9422811757. The cubic root of 2228117760 is about 1306.1088738661.

The spelling of 2228117760 in words is "two billion, two hundred twenty-eight million, one hundred seventeen thousand, seven hundred sixty".