2001442340 has 48 divisors (see below), whose sum is σ = 4233875184. Its totient is φ = 794726400.

The previous prime is 2001442271. The next prime is 2001442357. The reversal of 2001442340 is 432441002.

It can be written as a sum of positive squares in 8 ways, for example, as 6390784 + 1995051556 = 2528^2 + 44666^2 .

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, 2510822 + ... + 2511618.

It is an arithmetic number, because the mean of its divisors is an integer number (88205733).

Almost surely, 2^2001442340 is an apocalyptic number.

2001442340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001442340 is an abundant number, since it is smaller than the sum of its proper divisors (2232432844).

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

2001442340 is a wasteful number, since it uses less digits than its factorization.

2001442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2001442340 is about 44737.4824951069. The cubic root of 2001442340 is about 1260.2238495377.

Adding to 2001442340 its reverse (432441002), we get a palindrome (2433883342).

The spelling of 2001442340 in words is "two billion, one million, four hundred forty-two thousand, three hundred forty".