2235116800 has 108 divisors (see below), whose sum is σ = 6322713376. Its totient is φ = 766310400.

The previous prime is 2235116783. The next prime is 2235116801. The reversal of 2235116800 is 86115322.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235116801) 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 11 ways as a sum of consecutive naturals, for example, 19855 + ... + 69745.

Almost surely, 2^2235116800 is an apocalyptic number.

2235116800 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 2235116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161356688).

2235116800 is an abundant number, since it is smaller than the sum of its proper divisors (4087596576).

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

2235116800 is an equidigital number, since it uses as much as digits as its factorization.

2235116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49924 (or 49905 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2235116800 is about 47277.0219028229. The cubic root of 2235116800 is about 1307.4750423893.

The spelling of 2235116800 in words is "two billion, two hundred thirty-five million, one hundred sixteen thousand, eight hundred".