2638828530 has 240 divisors, whose sum is σ = 7906113864. Its totient is φ = 630789120.

The previous prime is 2638828487. The next prime is 2638828537. The reversal of 2638828530 is 358288362.

2638828530 is a `hidden beast` number, since 2 + 6 + 38 + 82 + 8 + 530 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6215049 + 2632613481 = 2493^2 + 51309^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2638828537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5064670 + ... + 5065190.

Almost surely, 2^2638828530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638828530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953056932).

2638828530 is an abundant number, since it is smaller than the sum of its proper divisors (5267285334).

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

2638828530 is a wasteful number, since it uses less digits than its factorization.

2638828530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2638828530 is about 51369.5291977647. The cubic root of 2638828530 is about 1381.8801876385.

The spelling of 2638828530 in words is "two billion, six hundred thirty-eight million, eight hundred twenty-eight thousand, five hundred thirty".