2540213205520 has 80 divisors (see below), whose sum is σ = 6096099110400. Its totient is φ = 983655332352.

The previous prime is 2540213205503. The next prime is 2540213205521. The reversal of 2540213205520 is 255023120452.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2540213205521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567192 + ... + 2745271.

It is an arithmetic number, because the mean of its divisors is an integer number (76201238880).

Almost surely, 2^{2540213205520} is an apocalyptic number.

2540213205520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540213205520 is an abundant number, since it is smaller than the sum of its proper divisors (3555885904880).

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

2540213205520 is a wasteful number, since it uses less digits than its factorization.

2540213205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312712 (or 4312706 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 2540213205520 its reverse (255023120452), we get a palindrome (2795236325972).

The spelling of 2540213205520 in words is "two trillion, five hundred forty billion, two hundred thirteen million, two hundred five thousand, five hundred twenty".