2068531032960 has 800 divisors, whose sum is σ = 8618286540600. Its totient is φ = 472778643456.

The previous prime is 2068531032947. The next prime is 2068531033001. The reversal of 2068531032960 is 692301358602.

2068531032960 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 5 + 310 + 329 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 124459531 + ... + 124476149.

Almost surely, 2^{2068531032960} is an apocalyptic number.

2068531032960 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 2068531032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309143270300).

2068531032960 is an abundant number, since it is smaller than the sum of its proper divisors (6549755507640).

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

2068531032960 is an frugal number, since it uses more digits than its factorization.

2068531032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16678 (or 16636 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2068531032960 in words is "two trillion, sixty-eight billion, five hundred thirty-one million, thirty-two thousand, nine hundred sixty".