2006675375040 has 336 divisors, whose sum is σ = 7891439761920. Its totient is φ = 458477107200.

The previous prime is 2006675375039. The next prime is 2006675375057. The reversal of 2006675375040 is 405735766002.

2006675375040 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 67 + 537 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51408651 + ... + 51447669.

Almost surely, 2^{2006675375040} is an apocalyptic number.

2006675375040 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 2006675375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945719880960).

2006675375040 is an abundant number, since it is smaller than the sum of its proper divisors (5884764386880).

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

2006675375040 is a wasteful number, since it uses less digits than its factorization.

2006675375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41600 (or 41587 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 2006675375040 in words is "two trillion, six billion, six hundred seventy-five million, three hundred seventy-five thousand, forty".