2540564500 has 48 divisors (see below), whose sum is σ = 5554982160. Its totient is φ = 1015056000.

The previous prime is 2540564497. The next prime is 2540564561. The reversal of 2540564500 is 54650452.

2540564500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1267644816 + 1272919684 = 35604^2 + 35678^2 .

It is a super-3 number, since 3×2540564500³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

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, 528106 + ... + 532894.

It is an arithmetic number, because the mean of its divisors is an integer number (115728795).

Almost surely, 2^2540564500 is an apocalyptic number.

2540564500 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 2540564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777491080).

2540564500 is an abundant number, since it is smaller than the sum of its proper divisors (3014417660).

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

2540564500 is a wasteful number, since it uses less digits than its factorization.

2540564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5857 counting only the distinct ones).

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

The square root of 2540564500 is about 50404.0127370827. The cubic root of 2540564500 is about 1364.5100595557.

The spelling of 2540564500 in words is "two billion, five hundred forty million, five hundred sixty-four thousand, five hundred".