2264727753507 has 8 divisors (see below), whose sum is σ = 3178565268160. Its totient is φ = 1430354370600.

The previous prime is 2264727753419. The next prime is 2264727753553. The reversal of 2264727753507 is 7053577274622.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2264727753507 - 2²³ = 2264719364899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57), and also a Moran number because the ratio is a prime number: 39732065851 = 2264727753507 / (2 + 2 + 6 + 4 + 7 + 2 + 7 + 7 + 5 + 3 + 5 + 0 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2264727753107) 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, 19866032869 + ... + 19866032982.

It is an arithmetic number, because the mean of its divisors is an integer number (397320658520).

Almost surely, 2^{2264727753507} is an apocalyptic number.

2264727753507 is a deficient number, since it is larger than the sum of its proper divisors (913837514653).

2264727753507 is a wasteful number, since it uses less digits than its factorization.

2264727753507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39732065873.

The product of its (nonzero) digits is 34574400, while the sum is 57.

The spelling of 2264727753507 in words is "two trillion, two hundred sixty-four billion, seven hundred twenty-seven million, seven hundred fifty-three thousand, five hundred seven".