2484142080 has 408 divisors, whose sum is σ = 9588105792. Its totient is φ = 537919488.

The previous prime is 2484142079. The next prime is 2484142081. The reversal of 2484142080 is 802414842.

It is an interprime number because it is at equal distance from previous prime (2484142079) and next prime (2484142081).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2484142081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130744311 + ... + 130744329.

Almost surely, 2^2484142080 is an apocalyptic number.

2484142080 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 2484142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794052896).

2484142080 is an abundant number, since it is smaller than the sum of its proper divisors (7103963712).

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

2484142080 is an frugal number, since it uses more digits than its factorization.

2484142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2484142080 is about 49841.1685256275. The cubic root of 2484142080 is about 1354.3330514021. Note that the first 3 decimals are identical.

The spelling of 2484142080 in words is "two billion, four hundred eighty-four million, one hundred forty-two thousand, eighty".