2263420800 has 768 divisors, whose sum is σ = 9288691200. Its totient is φ = 535265280.

The previous prime is 2263420793. The next prime is 2263420829. The reversal of 2263420800 is 80243622.

2263420800 is a `hidden beast` number, since 2 + 2 + 634 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33782367 + ... + 33782433.

It is an arithmetic number, because the mean of its divisors is an integer number (12094650).

Almost surely, 2^2263420800 is an apocalyptic number.

2263420800 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 2263420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644345600).

2263420800 is an abundant number, since it is smaller than the sum of its proper divisors (7025270400).

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

2263420800 is a wasteful number, since it uses less digits than its factorization.

2263420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2263420800 is about 47575.4222261873. The cubic root of 2263420800 is about 1312.9709004173.

It can be divided in two parts, 22634 and 20800, that added together give a palindrome (43434).

The spelling of 2263420800 in words is "two billion, two hundred sixty-three million, four hundred twenty thousand, eight hundred".