2011112013040 has 80 divisors (see below), whose sum is σ = 5130524937888. Its totient is φ = 728553765888.

The previous prime is 2011112013037. The next prime is 2011112013041. The reversal of 2011112013040 is 403102111102.

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

It is a super-2 number, since 2×2011112013040² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011112013041) 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, 18187914 + ... + 18298153.

Almost surely, 2^{2011112013040} is an apocalyptic number.

2011112013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011112013040 is an abundant number, since it is smaller than the sum of its proper divisors (3119412924848).

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

2011112013040 is a wasteful number, since it uses less digits than its factorization.

2011112013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36486146 (or 36486140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2011112013040 its reverse (403102111102), we get a palindrome (2414214124142).

The spelling of 2011112013040 in words is "two trillion, eleven billion, one hundred twelve million, thirteen thousand, forty".