2042333000 has 128 divisors (see below), whose sum is σ = 4951346400. Its totient is φ = 787968000.

The previous prime is 2042332973. The next prime is 2042333011. The reversal of 2042333000 is 3332402.

It can be written as a sum of positive squares in 16 ways, for example, as 72216004 + 1970116996 = 8498^2 + 44386^2 .

It is a super-2 number, since 2×2042333000² = 8342248165778000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2042333000.

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 31 ways as a sum of consecutive naturals, for example, 4468772 + ... + 4469228.

Almost surely, 2^2042333000 is an apocalyptic number.

2042333000 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 2042333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475673200).

2042333000 is an abundant number, since it is smaller than the sum of its proper divisors (2909013400).

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

2042333000 is a wasteful number, since it uses less digits than its factorization.

2042333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2042333000 is about 45192.1785268203. The cubic root of 2042333000 is about 1268.7484311660.

Adding to 2042333000 its reverse (3332402), we get a palindrome (2045665402).

The spelling of 2042333000 in words is "two billion, forty-two million, three hundred thirty-three thousand".