2275821117270 has 128 divisors (see below), whose sum is σ = 6125580288000. Its totient is φ = 601234579584.

The previous prime is 2275821117223. The next prime is 2275821117341. The reversal of 2275821117270 is 727111285722.

2275821117270 is a `hidden beast` number, since 2 + 27 + 582 + 11 + 17 + 27 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15334239 + ... + 15481941.

It is an arithmetic number, because the mean of its divisors is an integer number (47856096000).

Almost surely, 2^{2275821117270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275821117270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062790144000).

2275821117270 is an abundant number, since it is smaller than the sum of its proper divisors (3849759170730).

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

2275821117270 is a wasteful number, since it uses less digits than its factorization.

2275821117270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148251 (or 148245 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 2275821117270 in words is "two trillion, two hundred seventy-five billion, eight hundred twenty-one million, one hundred seventeen thousand, two hundred seventy".