2206312960 has 80 divisors (see below), whose sum is σ = 5433185736. Its totient is φ = 858636288.

The previous prime is 2206312957. The next prime is 2206312967. The reversal of 2206312960 is 692136022.

It can be written as a sum of positive squares in 4 ways, for example, as 1621833984 + 584478976 = 40272^2 + 24176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206312967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83074 + ... + 106366.

Almost surely, 2^2206312960 is an apocalyptic number.

2206312960 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 2206312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716592868).

2206312960 is an abundant number, since it is smaller than the sum of its proper divisors (3226872776).

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

2206312960 is an equidigital number, since it uses as much as digits as its factorization.

2206312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23353 (or 23337 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 2206312960 is about 46971.4057698937. The cubic root of 2206312960 is about 1301.8342863635.

Adding to 2206312960 its reverse (692136022), we get a palindrome (2898448982).

The spelling of 2206312960 in words is "two billion, two hundred six million, three hundred twelve thousand, nine hundred sixty".