2194378056000 has 1344 divisors, whose sum is σ = 8732805000192. Its totient is φ = 522547200000.

The previous prime is 2194378055981. The next prime is 2194378056011. The reversal of 2194378056000 is 6508734912.

2194378056000 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 3 + 7 + 80 + 560 + 0 + 0 = 666.

It is a super-3 number, since 3×2194378056000³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8097335865 + ... + 8097336135.

It is an arithmetic number, because the mean of its divisors is an integer number (6497622768).

It is a 1-persistent number, because it is pandigital, but 2⋅2194378056000 = 4388756112000 is not.

Almost surely, 2^{2194378056000} is an apocalyptic number.

2194378056000 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 2194378056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366402500096).

2194378056000 is an abundant number, since it is smaller than the sum of its proper divisors (6538426944192).

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

2194378056000 is a wasteful number, since it uses less digits than its factorization.

2194378056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2194378056000 in words is "two trillion, one hundred ninety-four billion, three hundred seventy-eight million, fifty-six thousand".