2287267752 has 128 divisors (see below), whose sum is σ = 7439247360. Its totient is φ = 568254720.

The previous prime is 2287267751. The next prime is 2287267753. The reversal of 2287267752 is 2577627822.

It is an interprime number because it is at equal distance from previous prime (2287267751) and next prime (2287267753).

It is not an unprimeable number, because it can be changed into a prime (2287267751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15598 + ... + 69410.

It is an arithmetic number, because the mean of its divisors is an integer number (58119120).

Almost surely, 2^2287267752 is an apocalyptic number.

2287267752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287267752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719623680).

2287267752 is an abundant number, since it is smaller than the sum of its proper divisors (5151979608).

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

2287267752 is a wasteful number, since it uses less digits than its factorization.

2287267752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53863 (or 53859 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 2287267752 is about 47825.3881531556. The cubic root of 2287267752 is about 1317.5658676579.

The spelling of 2287267752 in words is "two billion, two hundred eighty-seven million, two hundred sixty-seven thousand, seven hundred fifty-two".