2188028160 has 144 divisors (see below), whose sum is σ = 7764583680. Its totient is φ = 583464960.

The previous prime is 2188028147. The next prime is 2188028191. The reversal of 2188028160 is 618208812.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 2905 + ... + 66215.

It is an arithmetic number, because the mean of its divisors is an integer number (53920720).

Almost surely, 2^2188028160 is an apocalyptic number.

2188028160 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 2188028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882291840).

2188028160 is an abundant number, since it is smaller than the sum of its proper divisors (5576555520).

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

2188028160 is an equidigital number, since it uses as much as digits as its factorization.

2188028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63341 (or 63321 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2188028160 is about 46776.3632618014. The cubic root of 2188028160 is about 1298.2279920150.

The spelling of 2188028160 in words is "two billion, one hundred eighty-eight million, twenty-eight thousand, one hundred sixty".