2140411200 has 168 divisors, whose sum is σ = 7088489760. Its totient is φ = 565401600.

The previous prime is 2140411183. The next prime is 2140411241. The reversal of 2140411200 is 21140412.

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 2140411200.

It is a congruent number.

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, 521155 + ... + 525245.

Almost surely, 2^2140411200 is an apocalyptic number.

2140411200 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 2140411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544244880).

2140411200 is an abundant number, since it is smaller than the sum of its proper divisors (4948078560).

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

2140411200 is a wasteful number, since it uses less digits than its factorization.

2140411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4210 counting only the distinct ones).

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

The square root of 2140411200 is about 46264.5782429712. The cubic root of 2140411200 is about 1288.7412756478.

Adding to 2140411200 its reverse (21140412), we get a palindrome (2161551612).

The spelling of 2140411200 in words is "two billion, one hundred forty million, four hundred eleven thousand, two hundred".