2011115040 has 192 divisors, whose sum is σ = 7275018240. Its totient is φ = 461859840.

The previous prime is 2011114991. The next prime is 2011115063. The reversal of 2011115040 is 405111102.

It is a happy number.

It is a super-2 number, since 2×2011115040² = 8089167408228403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90297 + ... + 110343.

It is an arithmetic number, because the mean of its divisors is an integer number (37890720).

Almost surely, 2^2011115040 is an apocalyptic number.

2011115040 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 2011115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637509120).

2011115040 is an abundant number, since it is smaller than the sum of its proper divisors (5263903200).

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

2011115040 is a wasteful number, since it uses less digits than its factorization.

2011115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20095 (or 20087 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 2011115040 is about 44845.4572950260. The cubic root of 2011115040 is about 1262.2507515667.

Adding to 2011115040 its reverse (405111102), we get a palindrome (2416226142).

The spelling of 2011115040 in words is "two billion, eleven million, one hundred fifteen thousand, forty".