2188384128 has 576 divisors, whose sum is σ = 8212713600. Its totient is φ = 566590464.

The previous prime is 2188384127. The next prime is 2188384157. The reversal of 2188384128 is 8214838812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188384127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95147125 + ... + 95147147.

Almost surely, 2^2188384128 is an apocalyptic number.

2188384128 is a gapful number since it is divisible by the number (28) 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 2188384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106356800).

2188384128 is an abundant number, since it is smaller than the sum of its proper divisors (6024329472).

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

2188384128 is an equidigital number, since it uses as much as digits as its factorization.

2188384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 2188384128 is about 46780.1681057262. The cubic root of 2188384128 is about 1298.2983906463.

The spelling of 2188384128 in words is "two billion, one hundred eighty-eight million, three hundred eighty-four thousand, one hundred twenty-eight".