2008430661600 has 576 divisors, whose sum is σ = 7941721697280. Its totient is φ = 485814067200.

The previous prime is 2008430661569. The next prime is 2008430661617. The reversal of 2008430661600 is 61660348002.

2008430661600 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 4 + 30 + 6 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109999672 + ... + 110017928.

It is an arithmetic number, because the mean of its divisors is an integer number (13787711280).

Almost surely, 2^{2008430661600} is an apocalyptic number.

2008430661600 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 2008430661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970860848640).

2008430661600 is an abundant number, since it is smaller than the sum of its proper divisors (5933291035680).

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

2008430661600 is a wasteful number, since it uses less digits than its factorization.

2008430661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18760 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2008430661600 in words is "two trillion, eight billion, four hundred thirty million, six hundred sixty-one thousand, six hundred".