2011404400 has 60 divisors (see below), whose sum is σ = 4914361800. Its totient is φ = 790915840.

The previous prime is 2011404389. The next prime is 2011404443. The reversal of 2011404400 is 44041102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19015 + ... + 66214.

It is an arithmetic number, because the mean of its divisors is an integer number (81906030).

Almost surely, 2^2011404400 is an apocalyptic number.

2011404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011404400 is an abundant number, since it is smaller than the sum of its proper divisors (2902957400).

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

2011404400 is a wasteful number, since it uses less digits than its factorization.

2011404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85306 (or 85295 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2011404400 is about 44848.6833697490. The cubic root of 2011404400 is about 1262.3112863702.

Adding to 2011404400 its reverse (44041102), we get a palindrome (2055445502).

The spelling of 2011404400 in words is "two billion, eleven million, four hundred four thousand, four hundred".