2260825521552 has 600 divisors, whose sum is σ = 7235195121000. Its totient is φ = 681504565248.

The previous prime is 2260825521517. The next prime is 2260825521557. The reversal of 2260825521552 is 2551255280622.

2260825521552 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 82 + 552 + 15 + 5 + 2 = 666.

2260825521552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2255331154176 + 5494367376 = 1501776^2 + 74124^2 .

It is a super-2 number, since 2×2260825521552² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2260825521498 and 2260825521507.

It is not an unprimeable number, because it can be changed into a prime (2260825521557) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15173325574 + ... + 15173325722.

It is an arithmetic number, because the mean of its divisors is an integer number (12058658535).

Almost surely, 2^{2260825521552} 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 2260825521552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617597560500).

2260825521552 is an abundant number, since it is smaller than the sum of its proper divisors (4974369599448).

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

2260825521552 is an equidigital number, since it uses as much as digits as its factorization.

2260825521552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 2260825521552 in words is "two trillion, two hundred sixty billion, eight hundred twenty-five million, five hundred twenty-one thousand, five hundred fifty-two".