2011140340000 has 480 divisors, whose sum is σ = 5596539734016. Its totient is φ = 704837760000.

The previous prime is 2011140339979. The next prime is 2011140340037. The reversal of 2011140340000 is 430411102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 692778549 + ... + 692781451.

Almost surely, 2^{2011140340000} is an apocalyptic number.

2011140340000 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 2011140340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798269867008).

2011140340000 is an abundant number, since it is smaller than the sum of its proper divisors (3585399394016).

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

2011140340000 is a wasteful number, since it uses less digits than its factorization.

2011140340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2011140340000 its reverse (430411102), we get a palindrome (2011570751102).

The spelling of 2011140340000 in words is "two trillion, eleven billion, one hundred forty million, three hundred forty thousand".