2008230840000 has 4480 divisors, whose sum is σ = 10238002790400. Its totient is φ = 373248000000.

The previous prime is 2008230839983. The next prime is 2008230840001. The reversal of 2008230840000 is 480328002.

2008230840000 is a `hidden beast` number, since 20 + 0 + 8 + 230 + 8 + 400 + 0 + 0 = 666.

It is a super-2 number, since 2×2008230840000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008230840001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 48981239980 + ... + 48981240020.

It is an arithmetic number, because the mean of its divisors is an integer number (2285268480).

Almost surely, 2^{2008230840000} is an apocalyptic number.

2008230840000 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 2008230840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119001395200).

2008230840000 is an abundant number, since it is smaller than the sum of its proper divisors (8229771950400).

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

2008230840000 is a wasteful number, since it uses less digits than its factorization.

2008230840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2008230840000 in words is "two trillion, eight billion, two hundred thirty million, eight hundred forty thousand".