2034196012800 has 648 divisors, whose sum is σ = 8343706635264. Its totient is φ = 463167037440.

The previous prime is 2034196012787. The next prime is 2034196012819. The reversal of 2034196012800 is 82106914302.

2034196012800 is a `hidden beast` number, since 2 + 0 + 3 + 41 + 9 + 601 + 2 + 8 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106032009 + ... + 106051191.

Almost surely, 2^{2034196012800} is an apocalyptic number.

2034196012800 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 2034196012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171853317632).

2034196012800 is an abundant number, since it is smaller than the sum of its proper divisors (6309510622464).

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

2034196012800 is a wasteful number, since it uses less digits than its factorization.

2034196012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19485 (or 19463 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2034196012800 in words is "two trillion, thirty-four billion, one hundred ninety-six million, twelve thousand, eight hundred".