2042000040 has 64 divisors (see below), whose sum is σ = 6129437760. Its totient is φ = 544227840.

The previous prime is 2042000027. The next prime is 2042000041. The reversal of 2042000040 is 400002402.

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 not an unprimeable number, because it can be changed into a prime (2042000041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 280932 + ... + 288108.

It is an arithmetic number, because the mean of its divisors is an integer number (95772465).

Almost surely, 2^2042000040 is an apocalyptic number.

2042000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042000040 is an abundant number, since it is smaller than the sum of its proper divisors (4087437720).

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

2042000040 is a wasteful number, since it uses less digits than its factorization.

2042000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562 (or 9558 counting only the distinct ones).

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

The square root of 2042000040 is about 45188.4945533706. The cubic root of 2042000040 is about 1268.6794797207.

Adding to 2042000040 its reverse (400002402), we get a palindrome (2442002442).

The spelling of 2042000040 in words is "two billion, forty-two million, forty", and thus it is an aban number, an eban number, and an uban number.