2275806836160 has 1344 divisors, whose sum is σ = 9570502494720. Its totient is φ = 508836556800.

The previous prime is 2275806836131. The next prime is 2275806836161. The reversal of 2275806836160 is 616386085722.

2275806836160 is a `hidden beast` number, since 2 + 27 + 580 + 6 + 8 + 36 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2275806836097 and 2275806836106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275806836161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1943472375 + ... + 1943473545.

Almost surely, 2^{2275806836160} is an apocalyptic number.

2275806836160 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 2275806836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785251247360).

2275806836160 is an abundant number, since it is smaller than the sum of its proper divisors (7294695658560).

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

2275806836160 is a wasteful number, since it uses less digits than its factorization.

2275806836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2275806836160 in words is "two trillion, two hundred seventy-five billion, eight hundred six million, eight hundred thirty-six thousand, one hundred sixty".