2529530640 has 640 divisors, whose sum is σ = 11369272320. Its totient is φ = 501645312.

The previous prime is 2529530617. The next prime is 2529530669. The reversal of 2529530640 is 460359252.

2529530640 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 5 + 3 + 0 + 640 = 666.

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 = 2529530595 and 2529530604.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3341142 + ... + 3341898.

It is an arithmetic number, because the mean of its divisors is an integer number (17764488).

Almost surely, 2^2529530640 is an apocalyptic number.

2529530640 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 2529530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684636160).

2529530640 is an abundant number, since it is smaller than the sum of its proper divisors (8839741680).

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

2529530640 is a wasteful number, since it uses less digits than its factorization.

2529530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2529530640 is about 50294.4394540788. The cubic root of 2529530640 is about 1362.5318034268.

Adding to 2529530640 its reverse (460359252), we get a palindrome (2989889892).

The spelling of 2529530640 in words is "two billion, five hundred twenty-nine million, five hundred thirty thousand, six hundred forty".