2005124240 has 40 divisors (see below), whose sum is σ = 5327903040. Its totient is φ = 687470976.

The previous prime is 2005124227. The next prime is 2005124257. The reversal of 2005124240 is 424215002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 1789730 + ... + 1790849.

It is an arithmetic number, because the mean of its divisors is an integer number (133197576).

Almost surely, 2^2005124240 is an apocalyptic number.

2005124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005124240 is an abundant number, since it is smaller than the sum of its proper divisors (3322778800).

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

2005124240 is a wasteful number, since it uses less digits than its factorization.

2005124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580599 (or 3580593 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2005124240 is about 44778.6136453553. The cubic root of 2005124240 is about 1260.9961552075.

Adding to 2005124240 its reverse (424215002), we get a palindrome (2429339242).

The spelling of 2005124240 in words is "two billion, five million, one hundred twenty-four thousand, two hundred forty".