2275434007056 has 240 divisors, whose sum is σ = 7492774598400. Its totient is φ = 631077765120.

The previous prime is 2275434007019. The next prime is 2275434007081. The reversal of 2275434007056 is 6507004345722.

2275434007056 is a `hidden beast` number, since 22 + 75 + 43 + 400 + 70 + 56 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8085936 + ... + 8362608.

It is an arithmetic number, because the mean of its divisors is an integer number (31219894160).

Almost surely, 2^{2275434007056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275434007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746387299200).

2275434007056 is an abundant number, since it is smaller than the sum of its proper divisors (5217340591344).

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

2275434007056 is a wasteful number, since it uses less digits than its factorization.

2275434007056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276934 (or 276925 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 2275434007056 in words is "two trillion, two hundred seventy-five billion, four hundred thirty-four million, seven thousand, fifty-six".