2530808640 has 168 divisors, whose sum is σ = 8917658568. Its totient is φ = 658391040.

The previous prime is 2530808639. The next prime is 2530808641. The reversal of 2530808640 is 468080352.

2530808640 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 8 + 0 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2530808639) and next prime (2530808641).

It can be written as a sum of positive squares in 4 ways, for example, as 112529664 + 2418278976 = 10608^2 + 49176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2530808595 and 2530808604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530808641) 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 23 ways as a sum of consecutive naturals, for example, 107364 + ... + 128796.

It is an arithmetic number, because the mean of its divisors is an integer number (53081301).

Almost surely, 2^2530808640 is an apocalyptic number.

2530808640 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 2530808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458829284).

2530808640 is an abundant number, since it is smaller than the sum of its proper divisors (6386849928).

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

2530808640 is a wasteful number, since it uses less digits than its factorization.

2530808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21497 (or 21484 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2530808640 is about 50307.1430315815. The cubic root of 2530808640 is about 1362.7612297142.

Adding to 2530808640 its reverse (468080352), we get a palindrome (2998888992).

The spelling of 2530808640 in words is "two billion, five hundred thirty million, eight hundred eight thousand, six hundred forty".