2268733152 has 192 divisors, whose sum is σ = 7222279680. Its totient is φ = 609140736.

The previous prime is 2268733151. The next prime is 2268733157. The reversal of 2268733152 is 2513378622.

It is a super-2 number, since 2×2268733152² = 10294300229967710208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2268733152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268733151) 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, 1748568 + ... + 1749864.

It is an arithmetic number, because the mean of its divisors is an integer number (37616040).

Almost surely, 2^2268733152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611139840).

2268733152 is an abundant number, since it is smaller than the sum of its proper divisors (4953546528).

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

2268733152 is a wasteful number, since it uses less digits than its factorization.

2268733152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 2268733152 is about 47631.2203496824. The cubic root of 2268733152 is about 1313.9972987256.

It can be divided in two parts, 226 and 8733152, that added together give a palindrome (8733378).

The spelling of 2268733152 in words is "two billion, two hundred sixty-eight million, seven hundred thirty-three thousand, one hundred fifty-two".