2188900 has 72 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 723840.

The previous prime is 2188877. The next prime is 2188909. The reversal of 2188900 is 98812.

2188900 = T₁₈₅ + T₁₈₆ + ... + T₂₆₈.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2188909) 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, 37071 + ... + 37129.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2^2188900 is an apocalyptic number.

2188900 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 2188900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2188900 is an abundant number, since it is smaller than the sum of its proper divisors (3435740).

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

2188900 is a wasteful number, since it uses less digits than its factorization.

2188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 2188900 is about 1479.4931564560. The cubic root of 2188900 is about 129.8400399423.

The spelling of 2188900 in words is "two million, one hundred eighty-eight thousand, nine hundred".