2260562328704 has 64 divisors (see below), whose sum is σ = 4537244376000. Its totient is φ = 1121807926272.

The previous prime is 2260562328653. The next prime is 2260562328709. The reversal of 2260562328704 is 4078232650622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2260562328704² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260562328709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64442882 + ... + 64477950.

It is an arithmetic number, because the mean of its divisors is an integer number (70894443375).

Almost surely, 2^{2260562328704} 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 2260562328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268622188000).

2260562328704 is an abundant number, since it is smaller than the sum of its proper divisors (2276682047296).

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

2260562328704 is a wasteful number, since it uses less digits than its factorization.

2260562328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845 (or 38833 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 2260562328704 in words is "two trillion, two hundred sixty billion, five hundred sixty-two million, three hundred twenty-eight thousand, seven hundred four".