2275063200 has 504 divisors, whose sum is σ = 8606824128. Its totient is φ = 586621440.

The previous prime is 2275063181. The next prime is 2275063201. The reversal of 2275063200 is 23605722.

2275063200 is a `hidden beast` number, since 2 + 27 + 5 + 0 + 632 + 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 (2275063201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27410359 + ... + 27410441.

It is an arithmetic number, because the mean of its divisors is an integer number (17077032).

Almost surely, 2^2275063200 is an apocalyptic number.

2275063200 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 2275063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303412064).

2275063200 is an abundant number, since it is smaller than the sum of its proper divisors (6331760928).

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

2275063200 is an equidigital number, since it uses as much as digits as its factorization.

2275063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2275063200 is about 47697.6225822629. The cubic root of 2275063200 is about 1315.2182359345.

Adding to 2275063200 its reverse (23605722), we get a palindrome (2298668922).

The spelling of 2275063200 in words is "two billion, two hundred seventy-five million, sixty-three thousand, two hundred".