2541680512 has 64 divisors (see below), whose sum is σ = 5852066400. Its totient is φ = 1077018624.

The previous prime is 2541680459. The next prime is 2541680513. The reversal of 2541680512 is 2150861452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541680513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63808 + ... + 95680.

Almost surely, 2^2541680512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926033200).

2541680512 is an abundant number, since it is smaller than the sum of its proper divisors (3310385888).

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

2541680512 is an equidigital number, since it uses as much as digits as its factorization.

2541680512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31983 (or 31971 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2541680512 is about 50415.0821877739. The cubic root of 2541680512 is about 1364.7098296825.

The spelling of 2541680512 in words is "two billion, five hundred forty-one million, six hundred eighty thousand, five hundred twelve".