2834128180800 has 1680 divisors, whose sum is σ = 12700012647168. Its totient is φ = 605159424000.

The previous prime is 2834128180771. The next prime is 2834128180801. The reversal of 2834128180800 is 80818214382.

It is a happy number.

2834128180800 is a `hidden beast` number, since 2 + 8 + 3 + 412 + 81 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2834128180801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2328781792 + ... + 2328783008.

Almost surely, 2^{2834128180800} is an apocalyptic number.

2834128180800 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 2834128180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350006323584).

2834128180800 is an abundant number, since it is smaller than the sum of its proper divisors (9865884466368).

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

2834128180800 is a wasteful number, since it uses less digits than its factorization.

2834128180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 2834128180800 in words is "two trillion, eight hundred thirty-four billion, one hundred twenty-eight million, one hundred eighty thousand, eight hundred".