2008532529024 has 512 divisors, whose sum is σ = 6482826240000. Its totient is φ = 550137692160.

The previous prime is 2008532529023. The next prime is 2008532529053. The reversal of 2008532529024 is 4209252358002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008532529023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445052592 + ... + 445057104.

It is an arithmetic number, because the mean of its divisors is an integer number (12661770000).

Almost surely, 2^{2008532529024} is an apocalyptic number.

2008532529024 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 2008532529024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241413120000).

2008532529024 is an abundant number, since it is smaller than the sum of its proper divisors (4474293710976).

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

2008532529024 is a wasteful number, since it uses less digits than its factorization.

2008532529024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2008532529024 in words is "two trillion, eight billion, five hundred thirty-two million, five hundred twenty-nine thousand, twenty-four".