2285107200 has 720 divisors, whose sum is σ = 9216207000. Its totient is φ = 557383680.

The previous prime is 2285107199. The next prime is 2285107217. The reversal of 2285107200 is 27015822.

It is a tau number, because it is divible by the number of its divisors (720).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78796786 + ... + 78796814.

Almost surely, 2^2285107200 is an apocalyptic number.

2285107200 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 2285107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608103500).

2285107200 is an abundant number, since it is smaller than the sum of its proper divisors (6931099800).

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

2285107200 is a wasteful number, since it uses less digits than its factorization.

2285107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2285107200 is about 47802.7948973698. The cubic root of 2285107200 is about 1317.1508796065.

The spelling of 2285107200 in words is "two billion, two hundred eighty-five million, one hundred seven thousand, two hundred".