2866819681440 has 1728 divisors, whose sum is σ = 12300801004800. Its totient is φ = 619417497600.

The previous prime is 2866819681403. The next prime is 2866819681489. The reversal of 2866819681440 is 441869186682.

2866819681440 is a `hidden beast` number, since 28 + 6 + 6 + 8 + 1 + 96 + 81 + 440 = 666.

2866819681440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6530340741 + ... + 6530341179.

It is an arithmetic number, because the mean of its divisors is an integer number (7118519100).

Almost surely, 2^{2866819681440} is an apocalyptic number.

2866819681440 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 2866819681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150400502400).

2866819681440 is an abundant number, since it is smaller than the sum of its proper divisors (9433981323360).

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

2866819681440 is a wasteful number, since it uses less digits than its factorization.

2866819681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 2866819681440 in words is "two trillion, eight hundred sixty-six billion, eight hundred nineteen million, six hundred eighty-one thousand, four hundred forty".