2011128400 has 30 divisors (see below), whose sum is σ = 4831736942. Its totient is φ = 804451200.

The previous prime is 2011128391. The next prime is 2011128401. The reversal of 2011128400 is 48211102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 436308544 + 1574819856 = 20888^2 + 39684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011128401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2513511 + ... + 2514310.

Almost surely, 2^2011128400 is an apocalyptic number.

2011128400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011128400 is an abundant number, since it is smaller than the sum of its proper divisors (2820608542).

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

2011128400 is a wasteful number, since it uses less digits than its factorization.

2011128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027839 (or 5027828 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 2011128400 is about 44845.6062507800. The cubic root of 2011128400 is about 1262.2535466384.

Adding to 2011128400 its reverse (48211102), we get a palindrome (2059339502).

The spelling of 2011128400 in words is "two billion, eleven million, one hundred twenty-eight thousand, four hundred".