2541035200 has 168 divisors, whose sum is σ = 6856994160. Its totient is φ = 919142400.

The previous prime is 2541035197. The next prime is 2541035219. The reversal of 2541035200 is 25301452.

2541035200 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 (22).

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, 6212596 + ... + 6213004.

Almost surely, 2^2541035200 is an apocalyptic number.

2541035200 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 2541035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428497080).

2541035200 is an abundant number, since it is smaller than the sum of its proper divisors (4315958960).

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

2541035200 is a wasteful number, since it uses less digits than its factorization.

2541035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2541035200 is about 50408.6817919295. The cubic root of 2541035200 is about 1364.5943236663.

Adding to 2541035200 its reverse (25301452), we get a palindrome (2566336652).

The spelling of 2541035200 in words is "two billion, five hundred forty-one million, thirty-five thousand, two hundred".