2068866800 has 240 divisors, whose sum is σ = 6674906112. Its totient is φ = 595123200.

The previous prime is 2068866763. The next prime is 2068866827. The reversal of 2068866800 is 86688602.

It is a super-2 number, since 2×2068866800² = 8560419672284480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397817 + ... + 402983.

Almost surely, 2^2068866800 is an apocalyptic number.

2068866800 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 2068866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337453056).

2068866800 is an abundant number, since it is smaller than the sum of its proper divisors (4606039312).

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

2068866800 is a wasteful number, since it uses less digits than its factorization.

2068866800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 2068866800 is about 45484.7974602504. The cubic root of 2068866800 is about 1274.2192939394.

It can be divided in two parts, 2068 and 866800, that added together give a palindrome (868868).

The spelling of 2068866800 in words is "two billion, sixty-eight million, eight hundred sixty-six thousand, eight hundred".