2268866600 has 288 divisors, whose sum is σ = 7213600800. Its totient is φ = 652377600.

The previous prime is 2268866581. The next prime is 2268866609. The reversal of 2268866600 is 66688622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2268866609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1400591 + ... + 1402209.

It is an arithmetic number, because the mean of its divisors is an integer number (25047225).

Almost surely, 2^2268866600 is an apocalyptic number.

2268866600 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 2268866600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606800400).

2268866600 is an abundant number, since it is smaller than the sum of its proper divisors (4944734200).

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

2268866600 is a wasteful number, since it uses less digits than its factorization.

2268866600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 2268866600 is about 47632.6211749889. The cubic root of 2268866600 is about 1314.0230615430.

It can be divided in two parts, 2268 and 866600, that added together give a palindrome (868868).

The spelling of 2268866600 in words is "two billion, two hundred sixty-eight million, eight hundred sixty-six thousand, six hundred".