2008542334464 has 400 divisors, whose sum is σ = 6175840851840. Its totient is φ = 649526169600.

The previous prime is 2008542334459. The next prime is 2008542334543. The reversal of 2008542334464 is 4644332458002.

2008542334464 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 542 + 3 + 3 + 44 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269273967 + ... + 269281425.

Almost surely, 2^{2008542334464} is an apocalyptic number.

2008542334464 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 2008542334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087920425920).

2008542334464 is an abundant number, since it is smaller than the sum of its proper divisors (4167298517376).

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

2008542334464 is an equidigital number, since it uses as much as digits as its factorization.

2008542334464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 2008542334464 in words is "two trillion, eight billion, five hundred forty-two million, three hundred thirty-four thousand, four hundred sixty-four".