2068988644800 has 4032 divisors, whose sum is σ = 10506763238400. Its totient is φ = 372650803200.

The previous prime is 2068988644769. The next prime is 2068988644831. The reversal of 2068988644800 is 84468898602.

2068988644800 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 98 + 8 + 64 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2068988644769) and next prime (2068988644831).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×2068988644800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18981547146 + ... + 18981547254.

Almost surely, 2^{2068988644800} is an apocalyptic number.

2068988644800 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 2068988644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253381619200).

2068988644800 is an abundant number, since it is smaller than the sum of its proper divisors (8437774593600).

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

2068988644800 is a wasteful number, since it uses less digits than its factorization.

2068988644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2068988644800 in words is "two trillion, sixty-eight billion, nine hundred eighty-eight million, six hundred forty-four thousand, eight hundred".