2011006002144 has 48 divisors (see below), whose sum is σ = 5313850335360. Its totient is φ = 665896022400.

The previous prime is 2011006002143. The next prime is 2011006002149. The reversal of 2011006002144 is 4412006001102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2011006002144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011006002143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69349674 + ... + 69378665.

It is an arithmetic number, because the mean of its divisors is an integer number (110705215320).

Almost surely, 2^{2011006002144} is an apocalyptic number.

2011006002144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011006002144 is an abundant number, since it is smaller than the sum of its proper divisors (3302844333216).

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

2011006002144 is a wasteful number, since it uses less digits than its factorization.

2011006002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138728503 (or 138728495 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 2011006002144 in words is "two trillion, eleven billion, six million, two thousand, one hundred forty-four".