2508540864 has 56 divisors (see below), whose sum is σ = 6650736000. Its totient is φ = 834472704.

The previous prime is 2508540857. The next prime is 2508540869. The reversal of 2508540864 is 4680458052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508540869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82717 + ... + 108899.

Almost surely, 2^2508540864 is an apocalyptic number.

2508540864 is a gapful number since it is divisible by the number (24) 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 2508540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325368000).

2508540864 is an abundant number, since it is smaller than the sum of its proper divisors (4142195136).

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

2508540864 is a wasteful number, since it uses less digits than its factorization.

2508540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26697 (or 26687 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 2508540864 is about 50085.3358179817. The cubic root of 2508540864 is about 1358.7526163494.

The spelling of 2508540864 in words is "two billion, five hundred eight million, five hundred forty thousand, eight hundred sixty-four".