2671841894400 has 2520 divisors, whose sum is σ = 12189744281880. Its totient is φ = 575219957760.

The previous prime is 2671841894399. The next prime is 2671841894411. The reversal of 2671841894400 is 44981481762.

2671841894400 is a `hidden beast` number, since 2 + 6 + 7 + 18 + 4 + 189 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 179 ways as a sum of consecutive naturals, for example, 15444172714 + ... + 15444172886.

Almost surely, 2^{2671841894400} is an apocalyptic number.

2671841894400 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 2671841894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094872140940).

2671841894400 is an abundant number, since it is smaller than the sum of its proper divisors (9517902387480).

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

2671841894400 is a wasteful number, since it uses less digits than its factorization.

2671841894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2671841894400 in words is "two trillion, six hundred seventy-one billion, eight hundred forty-one million, eight hundred ninety-four thousand, four hundred".