2041540200 has 576 divisors, whose sum is σ = 8628197760. Its totient is φ = 437944320.

The previous prime is 2041540181. The next prime is 2041540201. The reversal of 2041540200 is 20451402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041540201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5783224 + ... + 5783576.

It is an arithmetic number, because the mean of its divisors is an integer number (14979510).

Almost surely, 2^2041540200 is an apocalyptic number.

2041540200 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 2041540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314098880).

2041540200 is an abundant number, since it is smaller than the sum of its proper divisors (6586657560).

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

2041540200 is a wasteful number, since it uses less digits than its factorization.

2041540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2041540200 is about 45183.4062460988. The cubic root of 2041540200 is about 1268.5842408442.

Adding to 2041540200 its reverse (20451402), we get a palindrome (2061991602).

The spelling of 2041540200 in words is "two billion, forty-one million, five hundred forty thousand, two hundred".