2201745616 has 120 divisors (see below), whose sum is σ = 5284248840. Its totient is φ = 883040256.

The previous prime is 2201745607. The next prime is 2201745617. The reversal of 2201745616 is 6165471022.

2201745616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67305616 + 2134440000 = 8204^2 + 46200^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201745617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3105070 + ... + 3105778.

It is an arithmetic number, because the mean of its divisors is an integer number (44035407).

Almost surely, 2^2201745616 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 2201745616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642124420).

2201745616 is an abundant number, since it is smaller than the sum of its proper divisors (3082503224).

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

2201745616 is a wasteful number, since it uses less digits than its factorization.

2201745616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2201745616 is about 46922.7622375324. The cubic root of 2201745616 is about 1300.9353457952.

The spelling of 2201745616 in words is "two billion, two hundred one million, seven hundred forty-five thousand, six hundred sixteen".