2481091200 has 576 divisors, whose sum is σ = 10470520320. Its totient is φ = 547430400.

The previous prime is 2481091183. The next prime is 2481091229. The reversal of 2481091200 is 21901842.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6249402 + ... + 6249798.

Almost surely, 2^2481091200 is an apocalyptic number.

2481091200 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 2481091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235260160).

2481091200 is an abundant number, since it is smaller than the sum of its proper divisors (7989429120).

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

2481091200 is a wasteful number, since it uses less digits than its factorization.

2481091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2481091200 is about 49810.5530987159. The cubic root of 2481091200 is about 1353.7783863621.

The spelling of 2481091200 in words is "two billion, four hundred eighty-one million, ninety-one thousand, two hundred".