2260605653200 has 60 divisors (see below), whose sum is σ = 5458674333420. Its totient is φ = 899652167680.

The previous prime is 2260605653171. The next prime is 2260605653213. The reversal of 2260605653200 is 23565060622.

It can be written as a sum of positive squares in 6 ways, for example, as 18147322944 + 2242458330256 = 134712^2 + 1497484^2 .

It is a super-2 number, since 2×2260605653200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2260605653200.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14265145 + ... + 14422744.

It is an arithmetic number, because the mean of its divisors is an integer number (90977905557).

Almost surely, 2^{2260605653200} is an apocalyptic number.

2260605653200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260605653200 is an abundant number, since it is smaller than the sum of its proper divisors (3198068680220).

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

2260605653200 is a wasteful number, since it uses less digits than its factorization.

2260605653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28688104 (or 28688093 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 2260605653200 in words is "two trillion, two hundred sixty billion, six hundred five million, six hundred fifty-three thousand, two hundred".