2008353972960 has 192 divisors, whose sum is σ = 7030114882560. Its totient is φ = 535494320640.

The previous prime is 2008353972929. The next prime is 2008353972971. The reversal of 2008353972960 is 692793538002.

It is a happy number.

2008353972960 is a `hidden beast` number, since 2 + 0 + 0 + 83 + 539 + 7 + 29 + 6 + 0 = 666.

It is a super-2 number, since 2×2008353972960² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2008353972897 and 2008353972906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41547205 + ... + 41595515.

It is an arithmetic number, because the mean of its divisors is an integer number (36615181680).

Almost surely, 2^{2008353972960} is an apocalyptic number.

2008353972960 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 2008353972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515057441280).

2008353972960 is an abundant number, since it is smaller than the sum of its proper divisors (5021760909600).

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

2008353972960 is a wasteful number, since it uses less digits than its factorization.

2008353972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57958 (or 57944 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2008353972960 in words is "two trillion, eight billion, three hundred fifty-three million, nine hundred seventy-two thousand, nine hundred sixty".