2042133024 has 48 divisors (see below), whose sum is σ = 5675933088. Its totient is φ = 640668672.

The previous prime is 2042133017. The next prime is 2042133031. The reversal of 2042133024 is 4203312402.

It is an interprime number because it is at equal distance from previous prime (2042133017) and next prime (2042133031).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2042133024² = 8340614575422769152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624022 + ... + 627285.

It is an arithmetic number, because the mean of its divisors is an integer number (118248606).

Almost surely, 2^2042133024 is an apocalyptic number.

2042133024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042133024 is an abundant number, since it is smaller than the sum of its proper divisors (3633800064).

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

2042133024 is a wasteful number, since it uses less digits than its factorization.

2042133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251337 (or 1251329 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2042133024 is about 45189.9659659088. The cubic root of 2042133024 is about 1268.7070197805.

Adding to 2042133024 its reverse (4203312402), we get a palindrome (6245445426).

The spelling of 2042133024 in words is "two billion, forty-two million, one hundred thirty-three thousand, twenty-four".