2027808384 has 128 divisors (see below), whose sum is σ = 6322531200. Its totient is φ = 563687424.

The previous prime is 2027808379. The next prime is 2027808397. The reversal of 2027808384 is 4838087202.

2027808384 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2027808384² = 8224013684441382912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 89262 + ... + 109650.

It is an arithmetic number, because the mean of its divisors is an integer number (49394775).

Almost surely, 2^2027808384 is an apocalyptic number.

2027808384 is a gapful number since it is divisible by the number (24) 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 2027808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161265600).

2027808384 is an abundant number, since it is smaller than the sum of its proper divisors (4294722816).

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

2027808384 is a wasteful number, since it uses less digits than its factorization.

2027808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20450 (or 20438 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2027808384 is about 45031.1934552039. The cubic root of 2027808384 is about 1265.7335877397.

The spelling of 2027808384 in words is "two billion, twenty-seven million, eight hundred eight thousand, three hundred eighty-four".