2002107240 has 128 divisors (see below), whose sum is σ = 7627104000. Its totient is φ = 457622784.

The previous prime is 2002107223. The next prime is 2002107287. The reversal of 2002107240 is 427012002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124855 + ... + 139974.

It is an arithmetic number, because the mean of its divisors is an integer number (59586750).

Almost surely, 2^2002107240 is an apocalyptic number.

2002107240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002107240 is an abundant number, since it is smaller than the sum of its proper divisors (5624996760).

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

2002107240 is a wasteful number, since it uses less digits than its factorization.

2002107240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264856 (or 264846 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2002107240 is about 44744.9130069553. The cubic root of 2002107240 is about 1260.3633872516.

Adding to 2002107240 its reverse (427012002), we get a palindrome (2429119242).

The spelling of 2002107240 in words is "two billion, two million, one hundred seven thousand, two hundred forty".