2000511240 has 192 divisors, whose sum is σ = 7518692160. Its totient is φ = 422069760.

The previous prime is 2000511229. The next prime is 2000511257. The reversal of 2000511240 is 421150002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63355 + ... + 89525.

It is an arithmetic number, because the mean of its divisors is an integer number (39159855).

Almost surely, 2^2000511240 is an apocalyptic number.

2000511240 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 2000511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759346080).

2000511240 is an abundant number, since it is smaller than the sum of its proper divisors (5518180920).

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

2000511240 is a wasteful number, since it uses less digits than its factorization.

2000511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26212 (or 26201 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2000511240 is about 44727.0750217360. The cubic root of 2000511240 is about 1260.0283944218.

Adding to 2000511240 its reverse (421150002), we get a palindrome (2421661242).

The spelling of 2000511240 in words is "two billion, five hundred eleven thousand, two hundred forty".