2027824080 has 160 divisors (see below), whose sum is σ = 6527582208. Its totient is φ = 520204800.

The previous prime is 2027824079. The next prime is 2027824081. The reversal of 2027824080 is 804287202.

It is an interprime number because it is at equal distance from previous prime (2027824079) and next prime (2027824081).

It is a super-2 number, since 2×2027824080² = 8224140998855692800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027824081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420327 + ... + 1421753.

Almost surely, 2^2027824080 is an apocalyptic number.

2027824080 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 2027824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263791104).

2027824080 is an abundant number, since it is smaller than the sum of its proper divisors (4499758128).

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

2027824080 is a wasteful number, since it uses less digits than its factorization.

2027824080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2027824080 is about 45031.3677340584. The cubic root of 2027824080 is about 1265.7368534827.

The spelling of 2027824080 in words is "two billion, twenty-seven million, eight hundred twenty-four thousand, eighty".