2040411200 has 84 divisors (see below), whose sum is σ = 5029737972. Its totient is φ = 814694400.

The previous prime is 2040411193. The next prime is 2040411209. The reversal of 2040411200 is 21140402.

It can be written as a sum of positive squares in 6 ways, for example, as 648822784 + 1391588416 = 25472^2 + 37304^2 .

It is not an unprimeable number, because it can be changed into a prime (2040411209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1498520 + ... + 1499880.

It is an arithmetic number, because the mean of its divisors is an integer number (59877833).

Almost surely, 2^2040411200 is an apocalyptic number.

2040411200 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 2040411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514868986).

2040411200 is an abundant number, since it is smaller than the sum of its proper divisors (2989326772).

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

2040411200 is a wasteful number, since it uses less digits than its factorization.

2040411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2040411200 is about 45170.9109936915. The cubic root of 2040411200 is about 1268.3503495067.

Adding to 2040411200 its reverse (21140402), we get a palindrome (2061551602).

The spelling of 2040411200 in words is "two billion, forty million, four hundred eleven thousand, two hundred".