2011000400 has 120 divisors (see below), whose sum is σ = 5067991104. Its totient is φ = 765388800.

The previous prime is 2011000367. The next prime is 2011000417. The reversal of 2011000400 is 40001102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2216747 + ... + 2217653.

Almost surely, 2^2011000400 is an apocalyptic number.

2011000400 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 2011000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533995552).

2011000400 is an abundant number, since it is smaller than the sum of its proper divisors (3056990704).

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

2011000400 is a wasteful number, since it uses less digits than its factorization.

2011000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

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

The square root of 2011000400 is about 44844.1791094452. The cubic root of 2011000400 is about 1262.2267669987.

Adding to 2011000400 its reverse (40001102), we get a palindrome (2051001502).

The spelling of 2011000400 in words is "two billion, eleven million, four hundred", and thus it is an aban number.