2270075583468 has 288 divisors, whose sum is σ = 6965770549248. Its totient is φ = 568376524800.

The previous prime is 2270075583427. The next prime is 2270075583469. The reversal of 2270075583468 is 8643855700722.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2270075583469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51508530 + ... + 51552582.

It is an arithmetic number, because the mean of its divisors is an integer number (24186703296).

Almost surely, 2^{2270075583468} is an apocalyptic number.

2270075583468 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 2270075583468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482885274624).

2270075583468 is an abundant number, since it is smaller than the sum of its proper divisors (4695694965780).

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

2270075583468 is a wasteful number, since it uses less digits than its factorization.

2270075583468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44373 (or 44364 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 2270075583468 in words is "two trillion, two hundred seventy billion, seventy-five million, five hundred eighty-three thousand, four hundred sixty-eight".