2001142240 has 24 divisors (see below), whose sum is σ = 4727698920. Its totient is φ = 800456832.

The previous prime is 2001142237. The next prime is 2001142259. The reversal of 2001142240 is 422411002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 6253410 + ... + 6253729.

It is an arithmetic number, because the mean of its divisors is an integer number (196987455).

Almost surely, 2^2001142240 is an apocalyptic number.

2001142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001142240 is an abundant number, since it is smaller than the sum of its proper divisors (2726556680).

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

2001142240 is a wasteful number, since it uses less digits than its factorization.

2001142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507154 (or 12507146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2001142240 is about 44734.1283585586. The cubic root of 2001142240 is about 1260.1608596173.

Adding to 2001142240 its reverse (422411002), we get a palindrome (2423553242).

The spelling of 2001142240 in words is "two billion, one million, one hundred forty-two thousand, two hundred forty".