2068143840 has 672 divisors, whose sum is σ = 8924126400. Its totient is φ = 441925632.

The previous prime is 2068143769. The next prime is 2068143851. The reversal of 2068143840 is 483418602.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2068143795 and 2068143804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13880086 + ... + 13880234.

It is an arithmetic number, because the mean of its divisors is an integer number (13279950).

Almost surely, 2^2068143840 is an apocalyptic number.

2068143840 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 2068143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462063200).

2068143840 is an abundant number, since it is smaller than the sum of its proper divisors (6855982560).

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

2068143840 is a wasteful number, since it uses less digits than its factorization.

2068143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2068143840 is about 45476.8494951003. The cubic root of 2068143840 is about 1274.0708524663.

The spelling of 2068143840 in words is "two billion, sixty-eight million, one hundred forty-three thousand, eight hundred forty".