2220964096 has 108 divisors (see below), whose sum is σ = 4905884116. Its totient is φ = 997539840.

The previous prime is 2220964091. The next prime is 2220964171. The reversal of 2220964096 is 6904690222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 862009600 + 1358954496 = 29360^2 + 36864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220964091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5594170 + ... + 5594566.

Almost surely, 2^2220964096 is an apocalyptic number.

2220964096 is a gapful number since it is divisible by the number (26) 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 2220964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452942058).

2220964096 is an abundant number, since it is smaller than the sum of its proper divisors (2684920020).

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

2220964096 is an equidigital number, since it uses as much as digits as its factorization.

2220964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 2220964096 is about 47127.1057460566. The cubic root of 2220964096 is about 1304.7095640174.

The spelling of 2220964096 in words is "two billion, two hundred twenty million, nine hundred sixty-four thousand, ninety-six".