2261152153728 has 448 divisors, whose sum is σ = 7285083886080. Its totient is φ = 694621992960.

The previous prime is 2261152153717. The next prime is 2261152153747. The reversal of 2261152153728 is 8273512511622.

2261152153728 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 1 + 521 + 53 + 72 + 8 = 666.

It is a super-2 number, since 2×2261152153728² (a number of 26 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 1071127393 + ... + 1071129503.

It is an arithmetic number, because the mean of its divisors is an integer number (16261347960).

Almost surely, 2^{2261152153728} 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 2261152153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642541943040).

2261152153728 is an abundant number, since it is smaller than the sum of its proper divisors (5023931732352).

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

2261152153728 is an equidigital number, since it uses as much as digits as its factorization.

2261152153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3012 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 2261152153728 in words is "two trillion, two hundred sixty-one billion, one hundred fifty-two million, one hundred fifty-three thousand, seven hundred twenty-eight".