2481984000 has 480 divisors, whose sum is σ = 9294405120. Its totient is φ = 635904000.

The previous prime is 2481983993. The next prime is 2481984007. The reversal of 2481984000 is 4891842.

2481984000 is a `hidden beast` number, since 248 + 1 + 9 + 8 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2481983993) and next prime (2481984007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2481984007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17855931 + ... + 17856069.

It is an arithmetic number, because the mean of its divisors is an integer number (19363344).

Almost surely, 2^2481984000 is an apocalyptic number.

2481984000 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 2481984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647202560).

2481984000 is an abundant number, since it is smaller than the sum of its proper divisors (6812421120).

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

2481984000 is a wasteful number, since it uses less digits than its factorization.

2481984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2481984000 is about 49819.5142489366. The cubic root of 2481984000 is about 1353.9407488470.

The spelling of 2481984000 in words is "two billion, four hundred eighty-one million, nine hundred eighty-four thousand".