2440340013000 has 128 divisors (see below), whose sum is σ = 7625526779520. Its totient is φ = 649760249600.

The previous prime is 2440340012947. The next prime is 2440340013037. The reversal of 2440340013000 is 3100430442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336147 + ... + 2581853.

It is an arithmetic number, because the mean of its divisors is an integer number (59574427965).

Almost surely, 2^{2440340013000} is an apocalyptic number.

2440340013000 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 2440340013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812763389760).

2440340013000 is an abundant number, since it is smaller than the sum of its proper divisors (5185186766520).

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

2440340013000 is a wasteful number, since it uses less digits than its factorization.

2440340013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246384 (or 1246370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2440340013000 its reverse (3100430442), we get a palindrome (2443440443442).

The spelling of 2440340013000 in words is "two trillion, four hundred forty billion, three hundred forty million, thirteen thousand".