2212136960 has 192 divisors, whose sum is σ = 5943974400. Its totient is φ = 783155200.

The previous prime is 2212136947. The next prime is 2212136963. The reversal of 2212136960 is 696312122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2212136963) 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, 4618001 + ... + 4618479.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^2212136960 is an apocalyptic number.

2212136960 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 2212136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971987200).

2212136960 is an abundant number, since it is smaller than the sum of its proper divisors (3731837440).

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

2212136960 is a wasteful number, since it uses less digits than its factorization.

2212136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 2212136960 is about 47033.3600755889. The cubic root of 2212136960 is about 1302.9787630680.

The spelling of 2212136960 in words is "two billion, two hundred twelve million, one hundred thirty-six thousand, nine hundred sixty".