2212308960 has 96 divisors (see below), whose sum is σ = 7083109152. Its totient is φ = 580270080.

The previous prime is 2212308937. The next prime is 2212308961. The reversal of 2212308960 is 698032122.

It is a happy number.

2212308960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212308961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8499 + ... + 67058.

It is an arithmetic number, because the mean of its divisors is an integer number (73782387).

Almost surely, 2^2212308960 is an apocalyptic number.

2212308960 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 2212308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541554576).

2212308960 is an abundant number, since it is smaller than the sum of its proper divisors (4870800192).

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

2212308960 is a wasteful number, since it uses less digits than its factorization.

2212308960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75636 (or 75628 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2212308960 is about 47035.1885294404. The cubic root of 2212308960 is about 1303.0125323061.

The spelling of 2212308960 in words is "two billion, two hundred twelve million, three hundred eight thousand, nine hundred sixty".