2541051200 has 168 divisors, whose sum is σ = 6692018112. Its totient is φ = 946298880.

The previous prime is 2541051199. The next prime is 2541051209. The reversal of 2541051200 is 21501452.

2541051200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541051209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2801147 + ... + 2802053.

Almost surely, 2^2541051200 is an apocalyptic number.

2541051200 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 2541051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346009056).

2541051200 is an abundant number, since it is smaller than the sum of its proper divisors (4150966912).

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

2541051200 is a wasteful number, since it uses less digits than its factorization.

2541051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2541051200 is about 50408.8404945006. The cubic root of 2541051200 is about 1364.5971877829.

Adding to 2541051200 its reverse (21501452), we get a palindrome (2562552652).

The spelling of 2541051200 in words is "two billion, five hundred forty-one million, fifty-one thousand, two hundred".