2541104000 has 128 divisors (see below), whose sum is σ = 6353661600. Its totient is φ = 1010688000.

The previous prime is 2541103993. The next prime is 2541104003. The reversal of 2541104000 is 4011452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2541104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3855671 + ... + 3856329.

Almost surely, 2^2541104000 is an apocalyptic number.

2541104000 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 2541104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176830800).

2541104000 is an abundant number, since it is smaller than the sum of its proper divisors (3812557600).

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

2541104000 is an equidigital number, since it uses as much as digits as its factorization.

2541104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2541104000 is about 50409.3642094403. The cubic root of 2541104000 is about 1364.6066392824.

Adding to 2541104000 its reverse (4011452), we get a palindrome (2545115452).

The spelling of 2541104000 in words is "two billion, five hundred forty-one million, one hundred four thousand".