2268604800 has 1152 divisors, whose sum is σ = 10765977600. Its totient is φ = 456192000.

The previous prime is 2268604781. The next prime is 2268604801. The reversal of 2268604800 is 84068622.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268604801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73180785 + ... + 73180815.

Almost surely, 2^2268604800 is an apocalyptic number.

2268604800 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 2268604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382988800).

2268604800 is an abundant number, since it is smaller than the sum of its proper divisors (8497372800).

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

2268604800 is a wasteful number, since it uses less digits than its factorization.

2268604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2268604800 is about 47629.8729790454. The cubic root of 2268604800 is about 1313.9725187639.

It can be divided in two parts, 226 and 8604800, that added together give a triangular number (8605026 = T₄₁₄₈).

The spelling of 2268604800 in words is "two billion, two hundred sixty-eight million, six hundred four thousand, eight hundred".