2427168128 has 128 divisors (see below), whose sum is σ = 6098457600. Its totient is φ = 934686720.

The previous prime is 2427168109. The next prime is 2427168169. The reversal of 2427168128 is 8218617242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2427168128² = 11782290243158048768, which contains 22 as substring.

It is a congruent number.

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, 875801 + ... + 878567.

It is an arithmetic number, because the mean of its divisors is an integer number (47644200).

Almost surely, 2^2427168128 is an apocalyptic number.

2427168128 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 2427168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049228800).

2427168128 is an abundant number, since it is smaller than the sum of its proper divisors (3671289472).

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

2427168128 is a wasteful number, since it uses less digits than its factorization.

2427168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2876 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 2427168128 is about 49266.2980951482. The cubic root of 2427168128 is about 1343.8989672730.

The spelling of 2427168128 in words is "two billion, four hundred twenty-seven million, one hundred sixty-eight thousand, one hundred twenty-eight".