2541334320 has 240 divisors, whose sum is σ = 9781873920. Its totient is φ = 579211776.

The previous prime is 2541334319. The next prime is 2541334333. The reversal of 2541334320 is 234331452.

2541334320 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 334 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2958051 + ... + 2958909.

It is an arithmetic number, because the mean of its divisors is an integer number (40757808).

Almost surely, 2^2541334320 is an apocalyptic number.

2541334320 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 2541334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890936960).

2541334320 is an abundant number, since it is smaller than the sum of its proper divisors (7240539600).

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

2541334320 is a wasteful number, since it uses less digits than its factorization.

2541334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2541334320 is about 50411.6486538578. The cubic root of 2541334320 is about 1364.6478663377.

Adding to 2541334320 its reverse (234331452), we get a palindrome (2775665772).

The spelling of 2541334320 in words is "two billion, five hundred forty-one million, three hundred thirty-four thousand, three hundred twenty".