2541648240 has 320 divisors, whose sum is σ = 9760089600. Its totient is φ = 604164096.

The previous prime is 2541648233. The next prime is 2541648253. The reversal of 2541648240 is 428461452.

2541648240 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 648 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2541648195 and 2541648204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 695859 + ... + 699501.

It is an arithmetic number, because the mean of its divisors is an integer number (30500280).

Almost surely, 2^2541648240 is an apocalyptic number.

2541648240 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 2541648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880044800).

2541648240 is an abundant number, since it is smaller than the sum of its proper divisors (7218441360).

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

2541648240 is a wasteful number, since it uses less digits than its factorization.

2541648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2541648240 is about 50414.7621238066. The cubic root of 2541648240 is about 1364.7040537005.

The spelling of 2541648240 in words is "two billion, five hundred forty-one million, six hundred forty-eight thousand, two hundred forty".