2540504320 has 72 divisors (see below), whose sum is σ = 6233852520. Its totient is φ = 991395840.

The previous prime is 2540504303. The next prime is 2540504339. The reversal of 2540504320 is 234050452.

It can be written as a sum of positive squares in 4 ways, for example, as 420086016 + 2120418304 = 20496^2 + 46048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28276 + ... + 76684.

It is an arithmetic number, because the mean of its divisors is an integer number (86581285).

Almost surely, 2^2540504320 is an apocalyptic number.

2540504320 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 2540504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116926260).

2540504320 is an abundant number, since it is smaller than the sum of its proper divisors (3693348200).

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

2540504320 is an equidigital number, since it uses as much as digits as its factorization.

2540504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48471 (or 48457 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2540504320 is about 50403.4157572679. The cubic root of 2540504320 is about 1364.4992854589.

Adding to 2540504320 its reverse (234050452), we get a palindrome (2774554772).

The spelling of 2540504320 in words is "two billion, five hundred forty million, five hundred four thousand, three hundred twenty".