2005202540 has 48 divisors (see below), whose sum is σ = 4597477920. Its totient is φ = 728570880.

The previous prime is 2005202509. The next prime is 2005202557. The reversal of 2005202540 is 452025002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338726 + ... + 344594.

It is an arithmetic number, because the mean of its divisors is an integer number (95780790).

Almost surely, 2^2005202540 is an apocalyptic number.

2005202540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005202540 is an abundant number, since it is smaller than the sum of its proper divisors (2592275380).

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

2005202540 is a wasteful number, since it uses less digits than its factorization.

2005202540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7440 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2005202540 is about 44779.4879381174. The cubic root of 2005202540 is about 1261.0125689392.

Adding to 2005202540 its reverse (452025002), we get a palindrome (2457227542).

The spelling of 2005202540 in words is "two billion, five million, two hundred two thousand, five hundred forty".