2224272960 has 1120 divisors, whose sum is σ = 10409236992. Its totient is φ = 437944320.

The previous prime is 2224272929. The next prime is 2224272991. The reversal of 2224272960 is 692724222.

2224272960 is a `hidden beast` number, since 222 + 427 + 2 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2224272929) and next prime (2224272991).

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 54250540 + ... + 54250580.

Almost surely, 2^2224272960 is an apocalyptic number.

2224272960 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 2224272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204618496).

2224272960 is an abundant number, since it is smaller than the sum of its proper divisors (8184964032).

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

2224272960 is a wasteful number, since it uses less digits than its factorization.

2224272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2224272960 is about 47162.1984220414. The cubic root of 2224272960 is about 1305.3571753207.

The spelling of 2224272960 in words is "two billion, two hundred twenty-four million, two hundred seventy-two thousand, nine hundred sixty".