2275311558960 has 1200 divisors, whose sum is σ = 9116388388800. Its totient is φ = 524559974400.

The previous prime is 2275311558931. The next prime is 2275311558977. The reversal of 2275311558960 is 698551135722.

2275311558960 is a `hidden beast` number, since 2 + 2 + 7 + 53 + 1 + 1 + 5 + 589 + 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 = 2275311558897 and 2275311558906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5067508816 + ... + 5067509264.

It is an arithmetic number, because the mean of its divisors is an integer number (7596990324).

Almost surely, 2^{2275311558960} is an apocalyptic number.

2275311558960 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 2275311558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558194194400).

2275311558960 is an abundant number, since it is smaller than the sum of its proper divisors (6841076829840).

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

2275311558960 is a wasteful number, since it uses less digits than its factorization.

2275311558960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 2275311558960 in words is "two trillion, two hundred seventy-five billion, three hundred eleven million, five hundred fifty-eight thousand, nine hundred sixty".