2481978240 has 768 divisors, whose sum is σ = 10822118400. Its totient is φ = 526417920.

The previous prime is 2481978229. The next prime is 2481978391. The reversal of 2481978240 is 428791842.

2481978240 is a `hidden beast` number, since 2 + 481 + 97 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34957405 + ... + 34957475.

It is an arithmetic number, because the mean of its divisors is an integer number (14091300).

Almost surely, 2^2481978240 is an apocalyptic number.

2481978240 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 2481978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411059200).

2481978240 is an abundant number, since it is smaller than the sum of its proper divisors (8340140160).

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

2481978240 is a wasteful number, since it uses less digits than its factorization.

2481978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2481978240 is about 49819.4564402303. The cubic root of 2481978240 is about 1353.9397014719.

The spelling of 2481978240 in words is "two billion, four hundred eighty-one million, nine hundred seventy-eight thousand, two hundred forty".