2260483200 has 768 divisors, whose sum is σ = 9334224000. Its totient is φ = 537477120.

The previous prime is 2260483187. The next prime is 2260483201. The reversal of 2260483200 is 23840622.

2260483200 is a `hidden beast` number, since 22 + 604 + 8 + 32 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2260483201) by changing a digit.

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, 118972791 + ... + 118972809.

Almost surely, 2^2260483200 is an apocalyptic number.

2260483200 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 2260483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667112000).

2260483200 is an abundant number, since it is smaller than the sum of its proper divisors (7073740800).

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

2260483200 is an equidigital number, since it uses as much as digits as its factorization.

2260483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

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

The square root of 2260483200 is about 47544.5391185991. The cubic root of 2260483200 is about 1312.4026376757.

The spelling of 2260483200 in words is "two billion, two hundred sixty million, four hundred eighty-three thousand, two hundred".