2006288338824 has 768 divisors, whose sum is σ = 7556153472000. Its totient is φ = 486282424320.

The previous prime is 2006288338823. The next prime is 2006288338837. The reversal of 2006288338824 is 4288338826002.

It is a happy number.

2006288338824 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 288 + 338 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2006288338823) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 148200984 + ... + 148214520.

It is an arithmetic number, because the mean of its divisors is an integer number (9838741500).

Almost surely, 2^{2006288338824} is an apocalyptic number.

2006288338824 is a gapful number since it is divisible by the number (24) 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 2006288338824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778076736000).

2006288338824 is an abundant number, since it is smaller than the sum of its proper divisors (5549865133176).

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

2006288338824 is a wasteful number, since it uses less digits than its factorization.

2006288338824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13663 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2006288338824 in words is "two trillion, six billion, two hundred eighty-eight million, three hundred thirty-eight thousand, eight hundred twenty-four".