2641984881120 has 1152 divisors, whose sum is σ = 10461394944000. Its totient is φ = 601416990720.

The previous prime is 2641984881101. The next prime is 2641984881149. The reversal of 2641984881120 is 211884891462.

2641984881120 is a `hidden beast` number, since 2 + 6 + 41 + 9 + 8 + 488 + 112 + 0 = 666.

It is a super-2 number, since 2×2641984881120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5294558631 + ... + 5294559129.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072000).

Almost surely, 2^{2641984881120} is an apocalyptic number.

2641984881120 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 2641984881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230697472000).

2641984881120 is an abundant number, since it is smaller than the sum of its proper divisors (7819410062880).

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

2641984881120 is a wasteful number, since it uses less digits than its factorization.

2641984881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 2641984881120 in words is "two trillion, six hundred forty-one billion, nine hundred eighty-four million, eight hundred eighty-one thousand, one hundred twenty".