2260711567500 has 60 divisors (see below), whose sum is σ = 6591632096280. Its totient is φ = 602856416000.

The previous prime is 2260711567493. The next prime is 2260711567501. The reversal of 2260711567500 is 57651170622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2260711567500² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260711567501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150706605 + ... + 150721604.

It is an arithmetic number, because the mean of its divisors is an integer number (109860534938).

Almost surely, 2^{2260711567500} is an apocalyptic number.

2260711567500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260711567500 is an abundant number, since it is smaller than the sum of its proper divisors (4330920528780).

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

2260711567500 is a wasteful number, since it uses less digits than its factorization.

2260711567500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301428236 (or 301428219 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 2260711567500 in words is "two trillion, two hundred sixty billion, seven hundred eleven million, five hundred sixty-seven thousand, five hundred".