2861289218304 has 432 divisors, whose sum is σ = 9450668324160. Its totient is φ = 846851604480.

The previous prime is 2861289218303. The next prime is 2861289218377. The reversal of 2861289218304 is 4038129821682.

2861289218304 is a `hidden beast` number, since 2 + 8 + 612 + 8 + 9 + 2 + 18 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2861289218303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140572992 + ... + 140593344.

Almost surely, 2^{2861289218304} is an apocalyptic number.

2861289218304 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 2861289218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725334162080).

2861289218304 is an abundant number, since it is smaller than the sum of its proper divisors (6589379105856).

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

2861289218304 is a wasteful number, since it uses less digits than its factorization.

2861289218304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20475 (or 20412 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2861289218304 in words is "two trillion, eight hundred sixty-one billion, two hundred eighty-nine million, two hundred eighteen thousand, three hundred four".