2225352960 has 288 divisors, whose sum is σ = 8314992000. Its totient is φ = 562028544.

The previous prime is 2225352953. The next prime is 2225353003. The reversal of 2225352960 is 692535222.

It is a happy number.

2225352960 is a `hidden beast` number, since 2 + 22 + 53 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654946 + ... + 658334.

It is an arithmetic number, because the mean of its divisors is an integer number (28871500).

Almost surely, 2^2225352960 is an apocalyptic number.

2225352960 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 2225352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157496000).

2225352960 is an abundant number, since it is smaller than the sum of its proper divisors (6089639040).

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

2225352960 is a wasteful number, since it uses less digits than its factorization.

2225352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2225352960 is about 47173.6468804353. The cubic root of 2225352960 is about 1305.5684140282.

The spelling of 2225352960 in words is "two billion, two hundred twenty-five million, three hundred fifty-two thousand, nine hundred sixty".