2541320480 has 96 divisors (see below), whose sum is σ = 6562321920. Its totient is φ = 925839360.

The previous prime is 2541320447. The next prime is 2541320491. The reversal of 2541320480 is 840231452.

It is a happy number.

2541320480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69251 + ... + 99389.

It is an arithmetic number, because the mean of its divisors is an integer number (68357520).

Almost surely, 2^2541320480 is an apocalyptic number.

2541320480 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 2541320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281160960).

2541320480 is an abundant number, since it is smaller than the sum of its proper divisors (4021001440).

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

2541320480 is a wasteful number, since it uses less digits than its factorization.

2541320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30202 (or 30194 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2541320480 is about 50411.5113838099. The cubic root of 2541320480 is about 1364.6453890616.

The spelling of 2541320480 in words is "two billion, five hundred forty-one million, three hundred twenty thousand, four hundred eighty".