2011142400 has 432 divisors, whose sum is σ = 7223496000. Its totient is φ = 491028480.

The previous prime is 2011142351. The next prime is 2011142443. The reversal of 2011142400 is 42411102.

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 2011142400.

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 47 ways as a sum of consecutive naturals, for example, 13497526 + ... + 13497674.

Almost surely, 2^2011142400 is an apocalyptic number.

2011142400 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 2011142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611748000).

2011142400 is an abundant number, since it is smaller than the sum of its proper divisors (5212353600).

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

2011142400 is a wasteful number, since it uses less digits than its factorization.

2011142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2011142400 is about 44845.7623416082. The cubic root of 2011142400 is about 1262.2564755926.

Adding to 2011142400 its reverse (42411102), we get a palindrome (2053553502).

The spelling of 2011142400 in words is "two billion, eleven million, one hundred forty-two thousand, four hundred".