2268739200 has 768 divisors, whose sum is σ = 9561888000. Its totient is φ = 469647360.

The previous prime is 2268739169. The next prime is 2268739217. The reversal of 2268739200 is 29378622.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 42806374 + ... + 42806426.

It is an arithmetic number, because the mean of its divisors is an integer number (12450375).

Almost surely, 2^2268739200 is an apocalyptic number.

2268739200 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 2268739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944000).

2268739200 is an abundant number, since it is smaller than the sum of its proper divisors (7293148800).

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

2268739200 is a wasteful number, since it uses less digits than its factorization.

2268739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2268739200 is about 47631.2838374109. The cubic root of 2268739200 is about 1313.9984663447.

The spelling of 2268739200 in words is "two billion, two hundred sixty-eight million, seven hundred thirty-nine thousand, two hundred".