2068442000 has 40 divisors (see below), whose sum is σ = 5001497592. Its totient is φ = 827376000.

The previous prime is 2068441993. The next prime is 2068442009. The reversal of 2068442000 is 2448602.

It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 2057892496 = 3248^2 + 45364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2068442009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 515111 + ... + 519110.

Almost surely, 2^2068442000 is an apocalyptic number.

2068442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068442000 is an abundant number, since it is smaller than the sum of its proper divisors (2933055592).

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

2068442000 is a wasteful number, since it uses less digits than its factorization.

2068442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034244 (or 1034228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2068442000 is about 45480.1275284052. The cubic root of 2068442000 is about 1274.1320762401.

The spelling of 2068442000 in words is "two billion, sixty-eight million, four hundred forty-two thousand".