2481911328 has 384 divisors, whose sum is σ = 8047226880. Its totient is φ = 661340160.

The previous prime is 2481911293. The next prime is 2481911329. The reversal of 2481911328 is 8231191842.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2481911329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18945823 + ... + 18945953.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 2^2481911328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2481911328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023613440).

2481911328 is an abundant number, since it is smaller than the sum of its proper divisors (5565315552).

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

2481911328 is a wasteful number, since it uses less digits than its factorization.

2481911328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 2481911328 is about 49818.7848908421. The cubic root of 2481911328 is about 1353.9275343457.

The spelling of 2481911328 in words is "two billion, four hundred eighty-one million, nine hundred eleven thousand, three hundred twenty-eight".