2273308128 has 288 divisors, whose sum is σ = 8030969856. Its totient is φ = 593961984.

The previous prime is 2273308097. The next prime is 2273308139. The reversal of 2273308128 is 8218033722.

It is a happy number.

2273308128 is a `hidden beast` number, since 227 + 3 + 308 + 128 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 2273308092 and 2273308101.

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, 3328075 + ... + 3328757.

It is an arithmetic number, because the mean of its divisors is an integer number (27885312).

Almost surely, 2^2273308128 is an apocalyptic number.

2273308128 is a gapful number since it is divisible by the number (28) 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 2273308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015484928).

2273308128 is an abundant number, since it is smaller than the sum of its proper divisors (5757661728).

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

2273308128 is a wasteful number, since it uses less digits than its factorization.

2273308128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2273308128 is about 47679.2211345781. The cubic root of 2273308128 is about 1314.8799454750.

The spelling of 2273308128 in words is "two billion, two hundred seventy-three million, three hundred eight thousand, one hundred twenty-eight".