2040006000 has 160 divisors (see below), whose sum is σ = 6730783488. Its totient is φ = 531283200.

The previous prime is 2040005977. The next prime is 2040006011. The reversal of 2040006000 is 6000402.

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 a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 254047 + ... + 261953.

Almost surely, 2^2040006000 is an apocalyptic number.

2040006000 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 2040006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365391744).

2040006000 is an abundant number, since it is smaller than the sum of its proper divisors (4690777488).

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

2040006000 is a wasteful number, since it uses less digits than its factorization.

2040006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2040006000 is about 45166.4255836124. The cubic root of 2040006000 is about 1268.2663844730.

Adding to 2040006000 its reverse (6000402), we get a palindrome (2046006402).

The spelling of 2040006000 in words is "two billion, forty million, six thousand", and thus it is an eban number.