2001005540 has 12 divisors (see below), whose sum is σ = 4202111676. Its totient is φ = 800402208.

The previous prime is 2001005507. The next prime is 2001005551. The reversal of 2001005540 is 455001002.

It can be written as a sum of positive squares in 2 ways, for example, as 1572598336 + 428407204 = 39656^2 + 20698^2 .

It is a super-2 number, since 2×2001005540² = 8008046342221383200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50025119 + ... + 50025158.

It is an arithmetic number, because the mean of its divisors is an integer number (350175973).

Almost surely, 2^2001005540 is an apocalyptic number.

2001005540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001005540 is an abundant number, since it is smaller than the sum of its proper divisors (2201106136).

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

2001005540 is a wasteful number, since it uses less digits than its factorization.

2001005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100050286 (or 100050284 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2001005540 is about 44732.6004162512. The cubic root of 2001005540 is about 1260.1321646868.

Adding to 2001005540 its reverse (455001002), we get a palindrome (2456006542).

The spelling of 2001005540 in words is "two billion, one million, five thousand, five hundred forty".