2455225200 has 360 divisors, whose sum is σ = 8815060800. Its totient is φ = 632586240.

The previous prime is 2455225177. The next prime is 2455225207. The reversal of 2455225200 is 25225542.

2455225200 is a `hidden beast` number, since 2 + 455 + 2 + 2 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455225207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25311552 + ... + 25311648.

It is an arithmetic number, because the mean of its divisors is an integer number (24486280).

Almost surely, 2^2455225200 is an apocalyptic number.

2455225200 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 2455225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407530400).

2455225200 is an abundant number, since it is smaller than the sum of its proper divisors (6359835600).

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

2455225200 is a wasteful number, since it uses less digits than its factorization.

2455225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2455225200 is about 49550.2290610245. The cubic root of 2455225200 is about 1349.0574490733.

The spelling of 2455225200 in words is "two billion, four hundred fifty-five million, two hundred twenty-five thousand, two hundred".