2484720000 has 960 divisors, whose sum is σ = 11184544800. Its totient is φ = 516096000.

The previous prime is 2484719999. The next prime is 2484720031. The reversal of 2484720000 is 274842.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85679986 + ... + 85680014.

Almost surely, 2^2484720000 is an apocalyptic number.

2484720000 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 2484720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592272400).

2484720000 is an abundant number, since it is smaller than the sum of its proper divisors (8699824800).

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

2484720000 is a wasteful number, since it uses less digits than its factorization.

2484720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2484720000 is about 49846.9658053527. The cubic root of 2484720000 is about 1354.4380689418.

Adding to 2484720000 its reverse (274842), we get a palindrome (2484994842).

The spelling of 2484720000 in words is "two billion, four hundred eighty-four million, seven hundred twenty thousand".