2188080 has 80 divisors (see below), whose sum is σ = 7544160. Its totient is φ = 582912.

The previous prime is 2188061. The next prime is 2188099. The reversal of 2188080 is 808812.

It is an interprime number because it is at equal distance from previous prime (2188061) and next prime (2188099).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1654 + ... + 2666.

It is an arithmetic number, because the mean of its divisors is an integer number (94302).

2^2188080 is an apocalyptic number.

2188080 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 2188080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772080).

2188080 is an abundant number, since it is smaller than the sum of its proper divisors (5356080).

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

2188080 is a wasteful number, since it uses less digits than its factorization.

2188080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2188080 is about 1479.2160085667. The cubic root of 2188080 is about 129.8238244718.

The spelling of 2188080 in words is "two million, one hundred eighty-eight thousand, eighty".