2859064267104 has 384 divisors, whose sum is σ = 9036304220160. Its totient is φ = 876865651200.

The previous prime is 2859064267061. The next prime is 2859064267133. The reversal of 2859064267104 is 4017624609582.

2859064267104 is a `hidden beast` number, since 2 + 8 + 590 + 6 + 42 + 6 + 7 + 1 + 0 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102863449 + ... + 102891239.

It is an arithmetic number, because the mean of its divisors is an integer number (23532042240).

Almost surely, 2^{2859064267104} is an apocalyptic number.

2859064267104 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 2859064267104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518152110080).

2859064267104 is an abundant number, since it is smaller than the sum of its proper divisors (6177239953056).

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

2859064267104 is a wasteful number, since it uses less digits than its factorization.

2859064267104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28031 (or 28017 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2859064267104 in words is "two trillion, eight hundred fifty-nine billion, sixty-four million, two hundred sixty-seven thousand, one hundred four".