2225616960 has 224 divisors, whose sum is σ = 8116945920. Its totient is φ = 506124288.

The previous prime is 2225616959. The next prime is 2225616971. The reversal of 2225616960 is 696165222.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1524711 + ... + 1526169.

Almost surely, 2^2225616960 is an apocalyptic number.

2225616960 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 2225616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058472960).

2225616960 is an abundant number, since it is smaller than the sum of its proper divisors (5891328960).

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

2225616960 is a wasteful number, since it uses less digits than its factorization.

2225616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2225616960 is about 47176.4449699212. Note that the first 3 decimals coincide. The cubic root of 2225616960 is about 1305.6200397611.

The spelling of 2225616960 in words is "two billion, two hundred twenty-five million, six hundred sixteen thousand, nine hundred sixty".