2541000000 has 588 divisors, whose sum is σ = 10556739872. Its totient is φ = 528000000.

The previous prime is 2540999983. The next prime is 2541000001. The reversal of 2541000000 is 1452.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2541000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 230999995 + ... + 231000005.

Almost surely, 2^2541000000 is an apocalyptic number.

2541000000 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 2541000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278369936).

2541000000 is an abundant number, since it is smaller than the sum of its proper divisors (8015739872).

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

2541000000 is an frugal number, since it uses more digits than its factorization.

2541000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2541000000 is about 50408.3326445142. The cubic root of 2541000000 is about 1364.5880225674.

Adding to 2541000000 its reverse (1452), we get a palindrome (2541001452).

The spelling of 2541000000 in words is "two billion, five hundred forty-one million", and thus it is an aban number.