2638482800 has 60 divisors (see below), whose sum is σ = 6425861040. Its totient is φ = 1040924160.

The previous prime is 2638482797. The next prime is 2638482809. The reversal of 2638482800 is 82848362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638482809) 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 11 ways as a sum of consecutive naturals, for example, 15980 + ... + 74379.

It is an arithmetic number, because the mean of its divisors is an integer number (107097684).

Almost surely, 2^2638482800 is an apocalyptic number.

2638482800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638482800 is an abundant number, since it is smaller than the sum of its proper divisors (3787378240).

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

2638482800 is a wasteful number, since it uses less digits than its factorization.

2638482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90450 (or 90439 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 2638482800 is about 51366.1639603348. The cubic root of 2638482800 is about 1381.8198353145.

The spelling of 2638482800 in words is "two billion, six hundred thirty-eight million, four hundred eighty-two thousand, eight hundred".