2202168640 has 112 divisors (see below), whose sum is σ = 6009583104. Its totient is φ = 752947200.

The previous prime is 2202168613. The next prime is 2202168641. The reversal of 2202168640 is 468612022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202168641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964300 + ... + 966580.

It is an arithmetic number, because the mean of its divisors is an integer number (53656992).

Almost surely, 2^2202168640 is an apocalyptic number.

2202168640 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 2202168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004791552).

2202168640 is an abundant number, since it is smaller than the sum of its proper divisors (3807414464).

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

2202168640 is a wasteful number, since it uses less digits than its factorization.

2202168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2202168640 is about 46927.2696840547. The cubic root of 2202168640 is about 1301.0186572109.

The spelling of 2202168640 in words is "two billion, two hundred two million, one hundred sixty-eight thousand, six hundred forty".