2000807540 has 48 divisors (see below), whose sum is σ = 4456710720. Its totient is φ = 752394240.

The previous prime is 2000807539. The next prime is 2000807573. The reversal of 2000807540 is 457080002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29684 + ... + 69876.

It is an arithmetic number, because the mean of its divisors is an integer number (92848140).

Almost surely, 2^2000807540 is an apocalyptic number.

2000807540 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 2000807540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228355360).

2000807540 is an abundant number, since it is smaller than the sum of its proper divisors (2455903180).

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

2000807540 is a wasteful number, since it uses less digits than its factorization.

2000807540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40352 (or 40350 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2000807540 is about 44730.3872104859. The cubic root of 2000807540 is about 1260.0905998513.

Adding to 2000807540 its reverse (457080002), we get a palindrome (2457887542).

The spelling of 2000807540 in words is "two billion, eight hundred seven thousand, five hundred forty".