2201826672 has 160 divisors (see below), whose sum is σ = 6835276800. Its totient is φ = 675965952.

The previous prime is 2201826661. The next prime is 2201826701. The reversal of 2201826672 is 2766281022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341979 + ... + 348357.

It is an arithmetic number, because the mean of its divisors is an integer number (42720480).

Almost surely, 2^2201826672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201826672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417638400).

2201826672 is an abundant number, since it is smaller than the sum of its proper divisors (4633450128).

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

2201826672 is a wasteful number, since it uses less digits than its factorization.

2201826672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2201826672 is about 46923.6259468511. The cubic root of 2201826672 is about 1300.9513099951.

The spelling of 2201826672 in words is "two billion, two hundred one million, eight hundred twenty-six thousand, six hundred seventy-two".