2268756000 has 384 divisors, whose sum is σ = 9441169920. Its totient is φ = 518400000.

The previous prime is 2268755999. The next prime is 2268756011. The reversal of 2268756000 is 6578622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754500 + ... + 757500.

It is an arithmetic number, because the mean of its divisors is an integer number (24586380).

Almost surely, 2^2268756000 is an apocalyptic number.

2268756000 is a gapful number since it is divisible by the number (20) 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 2268756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720584960).

2268756000 is an abundant number, since it is smaller than the sum of its proper divisors (7172413920).

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

2268756000 is a wasteful number, since it uses less digits than its factorization.

2268756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2268756000 is about 47631.4601917682. The cubic root of 2268756000 is about 1314.0017097203.

It can be divided in two parts, 22687 and 56000, that added together give a palindrome (78687).

The spelling of 2268756000 in words is "two billion, two hundred sixty-eight million, seven hundred fifty-six thousand".