2128424688 has 400 divisors, whose sum is σ = 7162909600. Its totient is φ = 604661760.

The previous prime is 2128424681. The next prime is 2128424689. The reversal of 2128424688 is 8864248212.

2128424688 is a `hidden beast` number, since 212 + 8 + 424 + 6 + 8 + 8 = 666.

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 (2128424681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19526778 + ... + 19526886.

It is an arithmetic number, because the mean of its divisors is an integer number (17907274).

Almost surely, 2^2128424688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128424688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581454800).

2128424688 is an abundant number, since it is smaller than the sum of its proper divisors (5034484912).

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

2128424688 is a wasteful number, since it uses less digits than its factorization.

2128424688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 2128424688 is about 46134.8532890265. The cubic root of 2128424688 is about 1286.3310785362.

The spelling of 2128424688 in words is "two billion, one hundred twenty-eight million, four hundred twenty-four thousand, six hundred eighty-eight".