2268713424 has 120 divisors (see below), whose sum is σ = 6117197760. Its totient is φ = 724477440.

The previous prime is 2268713417. The next prime is 2268713429. The reversal of 2268713424 is 4243178622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268713429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6319357 + ... + 6319715.

It is an arithmetic number, because the mean of its divisors is an integer number (50976648).

Almost surely, 2^2268713424 is an apocalyptic number.

2268713424 is a gapful number since it is divisible by the number (24) 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 2268713424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058598880).

2268713424 is an abundant number, since it is smaller than the sum of its proper divisors (3848484336).

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

2268713424 is a wasteful number, since it uses less digits than its factorization.

2268713424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 532 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 2268713424 is about 47631.0132581704. The cubic root of 2268713424 is about 1313.9934900488.

The spelling of 2268713424 in words is "two billion, two hundred sixty-eight million, seven hundred thirteen thousand, four hundred twenty-four".