2042233000 has 32 divisors (see below), whose sum is σ = 4778827560. Its totient is φ = 816892800.

The previous prime is 2042232991. The next prime is 2042233009. The reversal of 2042233000 is 3322402.

It is an interprime number because it is at equal distance from previous prime (2042232991) and next prime (2042233009).

It can be written as a sum of positive squares in 4 ways, for example, as 67141636 + 1975091364 = 8194^2 + 44442^2 .

It is not an unprimeable number, because it can be changed into a prime (2042233009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020117 + ... + 1022116.

Almost surely, 2^2042233000 is an apocalyptic number.

2042233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042233000 is an abundant number, since it is smaller than the sum of its proper divisors (2736594560).

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

2042233000 is a wasteful number, since it uses less digits than its factorization.

2042233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042254 (or 2042240 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2042233000 is about 45191.0721271359. The cubic root of 2042233000 is about 1268.7277233262.

Adding to 2042233000 its reverse (3322402), we get a palindrome (2045555402).

The spelling of 2042233000 in words is "two billion, forty-two million, two hundred thirty-three thousand".