2011412304240 has 160 divisors (see below), whose sum is σ = 6507689195520. Its totient is φ = 512960667648.

The previous prime is 2011412304211. The next prime is 2011412304241. The reversal of 2011412304240 is 424032141102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2011412304240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011412304241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32553696 + ... + 32615424.

It is an arithmetic number, because the mean of its divisors is an integer number (40673057472).

Almost surely, 2^{2011412304240} is an apocalyptic number.

2011412304240 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 2011412304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253844597760).

2011412304240 is an abundant number, since it is smaller than the sum of its proper divisors (4496276891280).

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

2011412304240 is a wasteful number, since it uses less digits than its factorization.

2011412304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67671 (or 67665 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2011412304240 its reverse (424032141102), we get a palindrome (2435444445342).

The spelling of 2011412304240 in words is "two trillion, eleven billion, four hundred twelve million, three hundred four thousand, two hundred forty".