2006054542800 has 1920 divisors, whose sum is σ = 9477421977600. Its totient is φ = 391523328000.

The previous prime is 2006054542799. The next prime is 2006054542829. The reversal of 2006054542800 is 82454506002.

It is a happy number.

2006054542800 is a `hidden beast` number, since 2 + 0 + 0 + 60 + 54 + 542 + 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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4085650555 + ... + 4085651045.

It is an arithmetic number, because the mean of its divisors is an integer number (4936157280).

Almost surely, 2^{2006054542800} is an apocalyptic number.

2006054542800 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 2006054542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738710988800).

2006054542800 is an abundant number, since it is smaller than the sum of its proper divisors (7471367434800).

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

2006054542800 is a wasteful number, since it uses less digits than its factorization.

2006054542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2006054542800 in words is "two trillion, six billion, fifty-four million, five hundred forty-two thousand, eight hundred".