2006753495040 has 960 divisors, whose sum is σ = 8324536147200. Its totient is φ = 458534780928.

The previous prime is 2006753494997. The next prime is 2006753495051. The reversal of 2006753495040 is 405943576002.

2006753495040 is a `hidden beast` number, since 2 + 0 + 0 + 67 + 534 + 9 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 79 ways as a sum of consecutive naturals, for example, 663826969 + ... + 663829991.

It is an arithmetic number, because the mean of its divisors is an integer number (8671391820).

Almost surely, 2^{2006753495040} is an apocalyptic number.

2006753495040 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 2006753495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162268073600).

2006753495040 is an abundant number, since it is smaller than the sum of its proper divisors (6317782652160).

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

2006753495040 is an frugal number, since it uses more digits than its factorization.

2006753495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2006753495040 in words is "two trillion, six billion, seven hundred fifty-three million, four hundred ninety-five thousand, forty".