1005140240 has 40 divisors (see below), whose sum is σ = 2516719128. Its totient is φ = 371128320.

The previous prime is 1005140239. The next prime is 1005140243. The reversal of 1005140240 is 420415001.

1005140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 991242256 = 3728^2 + 31484^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1005140243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482201 + ... + 484280.

Almost surely, 2^1005140240 is an apocalyptic number.

1005140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005140240 is an abundant number, since it is smaller than the sum of its proper divisors (1511578888).

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

1005140240 is a wasteful number, since it uses less digits than its factorization.

1005140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966507 (or 966501 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1005140240 is about 31703.9467574622. The cubic root of 1005140240 is about 1001.7104859032.

Adding to 1005140240 its reverse (420415001), we get a palindrome (1425555241).

The spelling of 1005140240 in words is "one billion, five million, one hundred forty thousand, two hundred forty".