2264727757104 has 30 divisors (see below), whose sum is σ = 6338092265076. Its totient is φ = 754909252320.

The previous prime is 2264727757099. The next prime is 2264727757109. The reversal of 2264727757104 is 4017577274622.

It is a happy number.

2264727757104 is a `hidden beast` number, since 2 + 2 + 6 + 47 + 27 + 7 + 571 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2264727757099) and next prime (2264727757109).

It is not an unprimeable number, because it can be changed into a prime (2264727757109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7863637902 + ... + 7863638189.

Almost surely, 2^{2264727757104} is an apocalyptic number.

2264727757104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2264727757104 is an abundant number, since it is smaller than the sum of its proper divisors (4073364507972).

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

2264727757104 is a wasteful number, since it uses less digits than its factorization.

2264727757104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727276105 (or 15727276096 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 2264727757104 in words is "two trillion, two hundred sixty-four billion, seven hundred twenty-seven million, seven hundred fifty-seven thousand, one hundred four".