2206326144 has 128 divisors (see below), whose sum is σ = 6421887360. Its totient is φ = 665600000.

The previous prime is 2206326127. The next prime is 2206326167. The reversal of 2206326144 is 4416236022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059184 + ... + 1061264.

It is an arithmetic number, because the mean of its divisors is an integer number (50170995).

Almost surely, 2^2206326144 is an apocalyptic number.

2206326144 is a gapful number since it is divisible by the number (24) 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 2206326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210943680).

2206326144 is an abundant number, since it is smaller than the sum of its proper divisors (4215561216).

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

2206326144 is a wasteful number, since it uses less digits than its factorization.

2206326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2206326144 is about 46971.5461103847. The cubic root of 2206326144 is about 1301.8368794301.

The spelling of 2206326144 in words is "two billion, two hundred six million, three hundred twenty-six thousand, one hundred forty-four".