2441872813536 has 576 divisors, whose sum is σ = 7810620120576. Its totient is φ = 718751232000.

The previous prime is 2441872813493. The next prime is 2441872813547. The reversal of 2441872813536 is 6353182781442.

2441872813536 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 8 + 7 + 281 + 353 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2238196351 + ... + 2238197441.

It is an arithmetic number, because the mean of its divisors is an integer number (13560104376).

Almost surely, 2^{2441872813536} is an apocalyptic number.

2441872813536 is a gapful number since it is divisible by the number (26) 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 2441872813536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905310060288).

2441872813536 is an abundant number, since it is smaller than the sum of its proper divisors (5368747307040).

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

2441872813536 is a wasteful number, since it uses less digits than its factorization.

2441872813536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 2441872813536 in words is "two trillion, four hundred forty-one billion, eight hundred seventy-two million, eight hundred thirteen thousand, five hundred thirty-six".