2001364240 has 80 divisors (see below), whose sum is σ = 5067086400. Its totient is φ = 732243456.

The previous prime is 2001364229. The next prime is 2001364243. The reversal of 2001364240 is 424631002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2001364243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21379 + ... + 66781.

It is an arithmetic number, because the mean of its divisors is an integer number (63338580).

Almost surely, 2^2001364240 is an apocalyptic number.

2001364240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533543200).

2001364240 is an abundant number, since it is smaller than the sum of its proper divisors (3065722160).

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

2001364240 is a wasteful number, since it uses less digits than its factorization.

2001364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45464 (or 45458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2001364240 is about 44736.6096167334. The cubic root of 2001364240 is about 1260.2074572322.

Adding to 2001364240 its reverse (424631002), we get a palindrome (2425995242).

The spelling of 2001364240 in words is "two billion, one million, three hundred sixty-four thousand, two hundred forty".