2040042000 has 80 divisors (see below), whose sum is σ = 6577114752. Its totient is φ = 544009600.

The previous prime is 2040041947. The next prime is 2040042019. The reversal of 2040042000 is 2400402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164004 + ... + 176003.

Almost surely, 2^2040042000 is an apocalyptic number.

2040042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040042000 is an abundant number, since it is smaller than the sum of its proper divisors (4537072752).

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

2040042000 is a wasteful number, since it uses less digits than its factorization.

2040042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340033 (or 340017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2040042000 is about 45166.8241079667. The cubic root of 2040042000 is about 1268.2738447976.

Adding to 2040042000 its reverse (2400402), we get a palindrome (2042442402).

The spelling of 2040042000 in words is "two billion, forty million, forty-two thousand", and thus it is an eban number.