2260864136034 has 160 divisors (see below), whose sum is σ = 6155538592896. Its totient is φ = 607962205440.

The previous prime is 2260864135979. The next prime is 2260864136059. The reversal of 2260864136034 is 4306314680622.

2260864136034 is a `hidden beast` number, since 2 + 2 + 608 + 6 + 4 + 1 + 3 + 6 + 0 + 34 = 666.

It is a super-2 number, since 2×2260864136034² (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 79 ways as a sum of consecutive naturals, for example, 4443244 + ... + 4925864.

Almost surely, 2^{2260864136034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260864136034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077769296448).

2260864136034 is an abundant number, since it is smaller than the sum of its proper divisors (3894674456862).

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

2260864136034 is an frugal number, since it uses more digits than its factorization.

2260864136034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482674 (or 482650 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2260864136034 in words is "two trillion, two hundred sixty billion, eight hundred sixty-four million, one hundred thirty-six thousand, thirty-four".