2481504000 has 144 divisors (see below), whose sum is σ = 8242634400. Its totient is φ = 661708800.

The previous prime is 2481503993. The next prime is 2481504001. The reversal of 2481504000 is 4051842.

It is a super-3 number, since 3×2481504000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481504001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83076 + ... + 108924.

Almost surely, 2^2481504000 is an apocalyptic number.

2481504000 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 2481504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121317200).

2481504000 is an abundant number, since it is smaller than the sum of its proper divisors (5761130400).

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

2481504000 is an equidigital number, since it uses as much as digits as its factorization.

2481504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25883 (or 25859 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2481504000 is about 49814.6966265981. The cubic root of 2481504000 is about 1353.8534620288.

Adding to 2481504000 its reverse (4051842), we get a palindrome (2485555842).

The spelling of 2481504000 in words is "two billion, four hundred eighty-one million, five hundred four thousand".