2834801136000 has 384 divisors, whose sum is σ = 10779340628160. Its totient is φ = 711478886400.

The previous prime is 2834801135921. The next prime is 2834801136049. The reversal of 2834801136000 is 6311084382.

2834801136000 is a `hidden beast` number, since 2 + 8 + 3 + 48 + 0 + 1 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868997 + ... + 3027003.

Almost surely, 2^{2834801136000} is an apocalyptic number.

2834801136000 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 2834801136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389670314080).

2834801136000 is an abundant number, since it is smaller than the sum of its proper divisors (7944539492160).

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

2834801136000 is a wasteful number, since it uses less digits than its factorization.

2834801136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158059 (or 1158034 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2834801136000 in words is "two trillion, eight hundred thirty-four billion, eight hundred one million, one hundred thirty-six thousand".