2001342240 has 144 divisors (see below), whose sum is σ = 7126636608. Its totient is φ = 510478848.

The previous prime is 2001342149. The next prime is 2001342241. The reversal of 2001342240 is 422431002.

2001342240 is a `hidden beast` number, since 200 + 1 + 3 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2001342241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2907 + ... + 63333.

It is an arithmetic number, because the mean of its divisors is an integer number (49490532).

Almost surely, 2^2001342240 is an apocalyptic number.

2001342240 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 2001342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563318304).

2001342240 is an abundant number, since it is smaller than the sum of its proper divisors (5125294368).

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

2001342240 is a wasteful number, since it uses less digits than its factorization.

2001342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60471 (or 60460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2001342240 is about 44736.3637324269. The cubic root of 2001342240 is about 1260.2028396044.

Adding to 2001342240 its reverse (422431002), we get a palindrome (2423773242).

The spelling of 2001342240 in words is "two billion, one million, three hundred forty-two thousand, two hundred forty".