2541541200 has 240 divisors, whose sum is σ = 9169508352. Its totient is φ = 596160000.

The previous prime is 2541541159. The next prime is 2541541201. The reversal of 2541541200 is 21451452.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541541201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406095 + ... + 412305.

Almost surely, 2^2541541200 is an apocalyptic number.

2541541200 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 2541541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584754176).

2541541200 is an abundant number, since it is smaller than the sum of its proper divisors (6627967152).

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

2541541200 is a wasteful number, since it uses less digits than its factorization.

2541541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2541541200 is about 50413.7005188074. The cubic root of 2541541200 is about 1364.6848955325.

Adding to 2541541200 its reverse (21451452), we get a palindrome (2562992652).

The spelling of 2541541200 in words is "two billion, five hundred forty-one million, five hundred forty-one thousand, two hundred".