2011000040 has 64 divisors (see below), whose sum is σ = 5475340800. Its totient is φ = 648926208.

The previous prime is 2011000007. The next prime is 2011000081. The reversal of 2011000040 is 400001102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2010999991 and 2011000027.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206480 + ... + 215999.

It is an arithmetic number, because the mean of its divisors is an integer number (85552200).

Almost surely, 2^2011000040 is an apocalyptic number.

2011000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000040 is an abundant number, since it is smaller than the sum of its proper divisors (3464340760).

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

2011000040 is a wasteful number, since it uses less digits than its factorization.

2011000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422514 (or 422510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2011000040 is about 44844.1750955461. The cubic root of 2011000040 is about 1262.2266916794.

Adding to 2011000040 its reverse (400001102), we get a palindrome (2411001142).

The spelling of 2011000040 in words is "two billion, eleven million, forty", and thus it is an aban number and an uban number.