2042000000 has 112 divisors (see below), whose sum is σ = 5089973910. Its totient is φ = 816000000.

The previous prime is 2041999991. The next prime is 2042000027. The reversal of 2042000000 is 2402.

It can be written as a sum of positive squares in 7 ways, for example, as 1004129344 + 1037870656 = 31688^2 + 32216^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999490 + ... + 2000510.

Almost surely, 2^2042000000 is an apocalyptic number.

2042000000 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 2042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544986955).

2042000000 is an abundant number, since it is smaller than the sum of its proper divisors (3047973910).

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

2042000000 is an frugal number, since it uses more digits than its factorization.

2042000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2042000000 is about 45188.4941107800. The cubic root of 2042000000 is about 1268.6794714368.

Adding to 2042000000 its reverse (2402), we get a palindrome (2042002402).

The spelling of 2042000000 in words is "two billion, forty-two million", and thus it is an aban number, an eban number, and an uban number.