2441308713984 has 396 divisors, whose sum is σ = 8284805929764. Its totient is φ = 690313494528.

The previous prime is 2441308713983. The next prime is 2441308713989. The reversal of 2441308713984 is 4893178031442.

2441308713984 is a `hidden beast` number, since 2 + 44 + 130 + 87 + 1 + 398 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1708353561600 + 732955152384 = 1307040^2 + 856128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2441308713984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441308713983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43775782 + ... + 43831514.

Almost surely, 2^{2441308713984} is an apocalyptic number.

2441308713984 is a gapful number since it is divisible by the number (24) 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 2441308713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142402964882).

2441308713984 is an abundant number, since it is smaller than the sum of its proper divisors (5843497215780).

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

2441308713984 is a wasteful number, since it uses less digits than its factorization.

2441308713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55870 (or 55842 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2441308713984 in words is "two trillion, four hundred forty-one billion, three hundred eight million, seven hundred thirteen thousand, nine hundred eighty-four".