2011412400 has 120 divisors (see below), whose sum is σ = 6476371200. Its totient is φ = 533617920.

The previous prime is 2011412357. The next prime is 2011412413. The reversal of 2011412400 is 42141102.

It is a tau number, because it is divible by the number of its divisors (120).

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 2011412400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234589 + ... + 243011.

It is an arithmetic number, because the mean of its divisors is an integer number (53969760).

Almost surely, 2^2011412400 is an apocalyptic number.

2011412400 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 2011412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238185600).

2011412400 is an abundant number, since it is smaller than the sum of its proper divisors (4464958800).

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

2011412400 is a wasteful number, since it uses less digits than its factorization.

2011412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8643 (or 8632 counting only the distinct ones).

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

The square root of 2011412400 is about 44848.7725584547. The cubic root of 2011412400 is about 1262.3129599069.

Adding to 2011412400 its reverse (42141102), we get a palindrome (2053553502).

The spelling of 2011412400 in words is "two billion, eleven million, four hundred twelve thousand, four hundred".