2541461600 has 72 divisors (see below), whose sum is σ = 6283035360. Its totient is φ = 1003691520.

The previous prime is 2541461591. The next prime is 2541461627. The reversal of 2541461600 is 61641452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43094 + ... + 83306.

It is an arithmetic number, because the mean of its divisors is an integer number (87264380).

Almost surely, 2^2541461600 is an apocalyptic number.

2541461600 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 2541461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141517680).

2541461600 is an abundant number, since it is smaller than the sum of its proper divisors (3741573760).

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

2541461600 is a wasteful number, since it uses less digits than its factorization.

2541461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40312 (or 40299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2541461600 is about 50412.9110446917. The cubic root of 2541461600 is about 1364.6706482650.

The spelling of 2541461600 in words is "two billion, five hundred forty-one million, four hundred sixty-one thousand, six hundred".