2638542720 has 256 divisors, whose sum is σ = 9228764160. Its totient is φ = 635904000.

The previous prime is 2638542703. The next prime is 2638542761. The reversal of 2638542720 is 272458362.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5723290 + ... + 5723750.

It is an arithmetic number, because the mean of its divisors is an integer number (36049860).

Almost surely, 2^2638542720 is an apocalyptic number.

2638542720 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 2638542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614382080).

2638542720 is an abundant number, since it is smaller than the sum of its proper divisors (6590221440).

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

2638542720 is a wasteful number, since it uses less digits than its factorization.

2638542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2638542720 is about 51366.7472203565. The cubic root of 2638542720 is about 1381.8302956212.

The spelling of 2638542720 in words is "two billion, six hundred thirty-eight million, five hundred forty-two thousand, seven hundred twenty".