2288785800 has 192 divisors, whose sum is σ = 8370892800. Its totient is φ = 506246400.

The previous prime is 2288785789. The next prime is 2288785801. The reversal of 2288785800 is 85878822.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2288785800.

It is not an unprimeable number, because it can be changed into a prime (2288785801) 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 47 ways as a sum of consecutive naturals, for example, 121411 + ... + 138989.

It is an arithmetic number, because the mean of its divisors is an integer number (43598400).

Almost surely, 2^2288785800 is an apocalyptic number.

2288785800 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 2288785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185446400).

2288785800 is an abundant number, since it is smaller than the sum of its proper divisors (6082107000).

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

2288785800 is a wasteful number, since it uses less digits than its factorization.

2288785800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17636 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 2288785800 is about 47841.2562544087. The cubic root of 2288785800 is about 1317.8572904555.

The spelling of 2288785800 in words is "two billion, two hundred eighty-eight million, seven hundred eighty-five thousand, eight hundred".