2228192271360 has 2376 divisors, whose sum is σ = 9514728136368. Its totient is φ = 499256524800.

The previous prime is 2228192271311. The next prime is 2228192271367. The reversal of 2228192271360 is 631722918222.

2228192271360 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 19 + 2 + 271 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228192271367) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 54346152940 + ... + 54346152980.

Almost surely, 2^{2228192271360} is an apocalyptic number.

2228192271360 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 2228192271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757364068184).

2228192271360 is an abundant number, since it is smaller than the sum of its proper divisors (7286535865008).

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

2228192271360 is a wasteful number, since it uses less digits than its factorization.

2228192271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2228192271360 in words is "two trillion, two hundred twenty-eight billion, one hundred ninety-two million, two hundred seventy-one thousand, three hundred sixty".