2011034400 has 72 divisors (see below), whose sum is σ = 6545924784. Its totient is φ = 536275200.

The previous prime is 2011034393. The next prime is 2011034401. The reversal of 2011034400 is 44301102.

2011034400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2011034400.

It is not an unprimeable number, because it can be changed into a prime (2011034401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 416566 + ... + 421365.

It is an arithmetic number, because the mean of its divisors is an integer number (90915622).

Almost surely, 2^2011034400 is an apocalyptic number.

2011034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011034400 is an abundant number, since it is smaller than the sum of its proper divisors (4534890384).

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

2011034400 is a wasteful number, since it uses less digits than its factorization.

2011034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837954 (or 837941 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2011034400 is about 44844.5581982920. The cubic root of 2011034400 is about 1262.2338804514.

Adding to 2011034400 its reverse (44301102), we get a palindrome (2055335502).

The spelling of 2011034400 in words is "two billion, eleven million, thirty-four thousand, four hundred".